How to find the equation of a curve - GRE Quantitative Reasoning
Card 1 of 24
What is the slope of the line whose equation is 8x+12y=20?
What is the slope of the line whose equation is 8x+12y=20?
Tap to reveal answer
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
← Didn't Know|Knew It →
Which of the following equations has a 
-intercept of 
?
Which of the following equations has a
Tap to reveal answer
To find the 
-intercept, you need to find the value of the equation where 
. The easiest way to do this is to substitute in 
for your value of 
and see where you get 
for 
. If you do this for each of your equations proposed as potential answers, you find that 
is the answer.
Substitute in 
for 
:
To find the
Substitute in
← Didn't Know|Knew It →
If 
is a line that has a 
-intercept of 
and an 
-intercept of 
, which of the following is the equation of a line that is perpendicular to 
?
If
Tap to reveal answer
If 
has a 
-intercept of 
, then it must pass through the point 
.
If its 
-intercept is 
, then it must through the point 
.
The slope of this line is 
.
Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is 
. Only 
has a slope of 
.
If
If its
The slope of this line is
Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is
← Didn't Know|Knew It →
What is the slope of the line whose equation is 8x+12y=20?
What is the slope of the line whose equation is 8x+12y=20?
Tap to reveal answer
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
← Didn't Know|Knew It →
Which of the following equations has a -intercept of ?
Which of the following equations has a
Tap to reveal answer
To find the -intercept, you need to find the value of the equation where . The easiest way to do this is to substitute in for your value of and see where you get for . If you do this for each of your equations proposed as potential answers, you find that is the answer.
Substitute in for :
To find the
Substitute in
← Didn't Know|Knew It →
If is a line that has a -intercept of and an -intercept of , which of the following is the equation of a line that is perpendicular to ?
If
Tap to reveal answer
If has a -intercept of , then it must pass through the point .
If its -intercept is , then it must through the point .
The slope of this line is .
Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is . Only has a slope of .
If
If its
The slope of this line is
Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is
← Didn't Know|Knew It →
What is the slope of the line whose equation is 8x+12y=20?
What is the slope of the line whose equation is 8x+12y=20?
Tap to reveal answer
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
← Didn't Know|Knew It →
Which of the following equations has a -intercept of ?
Which of the following equations has a
Tap to reveal answer
To find the -intercept, you need to find the value of the equation where . The easiest way to do this is to substitute in for your value of and see where you get for . If you do this for each of your equations proposed as potential answers, you find that is the answer.
Substitute in for :
To find the
Substitute in
← Didn't Know|Knew It →
If is a line that has a -intercept of and an -intercept of , which of the following is the equation of a line that is perpendicular to ?
If
Tap to reveal answer
If has a -intercept of , then it must pass through the point .
If its -intercept is , then it must through the point .
The slope of this line is .
Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is . Only has a slope of .
If
If its
The slope of this line is
Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is
← Didn't Know|Knew It →
What is the slope of the line whose equation is 8x+12y=20?
What is the slope of the line whose equation is 8x+12y=20?
Tap to reveal answer
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
← Didn't Know|Knew It →
Which of the following equations has a -intercept of ?
Which of the following equations has a
Tap to reveal answer
To find the -intercept, you need to find the value of the equation where . The easiest way to do this is to substitute in for your value of and see where you get for . If you do this for each of your equations proposed as potential answers, you find that is the answer.
Substitute in for :
To find the
Substitute in
← Didn't Know|Knew It →
If is a line that has a -intercept of and an -intercept of , which of the following is the equation of a line that is perpendicular to ?
If
Tap to reveal answer
If has a -intercept of , then it must pass through the point .
If its -intercept is , then it must through the point .
The slope of this line is .
Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is . Only has a slope of .
If
If its
The slope of this line is
Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is
← Didn't Know|Knew It →
What is the slope of the line whose equation is 8x+12y=20?
What is the slope of the line whose equation is 8x+12y=20?
Tap to reveal answer
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
← Didn't Know|Knew It →
Which of the following equations has a -intercept of ?
Which of the following equations has a
Tap to reveal answer
To find the -intercept, you need to find the value of the equation where . The easiest way to do this is to substitute in for your value of and see where you get for . If you do this for each of your equations proposed as potential answers, you find that is the answer.
Substitute in for :
To find the
Substitute in
← Didn't Know|Knew It →
If is a line that has a -intercept of and an -intercept of , which of the following is the equation of a line that is perpendicular to ?
If
Tap to reveal answer
If has a -intercept of , then it must pass through the point .
If its -intercept is , then it must through the point .
The slope of this line is .
Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is . Only has a slope of .
If
If its
The slope of this line is
Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is
← Didn't Know|Knew It →
What is the slope of the line whose equation is 8x+12y=20?
What is the slope of the line whose equation is 8x+12y=20?
Tap to reveal answer
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
← Didn't Know|Knew It →
Which of the following equations has a -intercept of ?
Which of the following equations has a
Tap to reveal answer
To find the -intercept, you need to find the value of the equation where . The easiest way to do this is to substitute in for your value of and see where you get for . If you do this for each of your equations proposed as potential answers, you find that is the answer.
Substitute in for :
To find the
Substitute in
← Didn't Know|Knew It →
If is a line that has a -intercept of and an -intercept of , which of the following is the equation of a line that is perpendicular to ?
If
Tap to reveal answer
If has a -intercept of , then it must pass through the point .
If its -intercept is , then it must through the point .
The slope of this line is .
Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is . Only has a slope of .
If
If its
The slope of this line is
Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is
← Didn't Know|Knew It →
What is the slope of the line whose equation is 8x+12y=20?
What is the slope of the line whose equation is 8x+12y=20?
Tap to reveal answer
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
Solve for y so that the equation resembles the y=mx+b form. This equation becomes -$\frac{2}{3}$x+\frac{5}{3}$. In this form, the m is the slope, which is -$\frac{2}{3}$.
← Didn't Know|Knew It →
Which of the following equations has a -intercept of ?
Which of the following equations has a
Tap to reveal answer
To find the -intercept, you need to find the value of the equation where . The easiest way to do this is to substitute in for your value of and see where you get for . If you do this for each of your equations proposed as potential answers, you find that is the answer.
Substitute in for :
To find the
Substitute in
← Didn't Know|Knew It →