All SSAT Upper Level Math Resources
Example Question #1 : How To Find The Equation Of A Line
Give the equation of a line that passes through the point and has slope 1.
We can use the point slope form of a line, substituting .
Example Question #2 : How To Find The Equation Of A Line
A line can be represented by . What is the slope of the line that is perpendicular to it?
You will first solve for Y, to get the equation in form.
represents the slope of the line, which would be .
A perpendicular line's slope would be the negative reciprocal of that value, which is .
Example Question #3 : How To Find The Equation Of A Line
Find the equation the line goes through the points and .
First, find the slope of the line.
Now, because the problem tells us that the line goes through , our y-intercept must be .
Putting the pieces together, we get the following equation:
Example Question #4 : How To Find The Equation Of A Line
A line passes through the points and . Find the equation of this line.
To find the equation of a line, we need to first find the slope.
Now, our equation for the line looks like the following:
To find the y-intercept, plug in one of the given points and solve for . Using , we get the following equation:
Solve for .
Now, plug the value for into the equation.
Example Question #5 : How To Find The Equation Of A Line
What is the equation of a line that passes through the points and ?
First, we need to find the slope of the line.
Next, find the -intercept. To find the -intercept, plug in the values of one point into the equation , where is the slope that we just found and is the -intercept.
Solve for .
Now, put the slope and -intercept together to get
Example Question #6 : How To Find The Equation Of A Line
Examine the above diagram. What is ?
Use the properties of angle addition:
Example Question #7 : How To Find The Equation Of A Line
Are the following two equations parallel?
When two lines are parallal, they must have the same slope.
Look at the equations when they are in slope-intercept form, where b represents the slope.
We must first reduce the second equation since all of the constants are divisible by .
This leaves us with . Since both equations have a slope of , they are parallel.
Example Question #8 : How To Find The Equation Of A Line
Reduce the following expression:
For this expression, you must take each variable and deal with them separately.
First divide you two constants .
Then you move onto and when you divide like exponents you must subtract the exponents leaving you with .
is left by itself since it is already in a natural position.
Whenever you have a negative exponential term, you must it in the denominator.
This leaves the expression of .
Example Question #9 : How To Find The Equation Of A Line
Give the equation of a line that passes through the point and has an undefined slope.
A line with an undefined slope has equation for some number ; since this line passes through a point with -coordinate 4, then this line must have equation
Example Question #10 : How To Find The Equation Of A Line
Give the equation of the line through and .
First, find the slope:
Apply the point-slope formula:
Rewriting in standard form: