GRE Quantitative Reasoning › Slope & Intercept
Find the slope of a line that passes through and
The formula for slope is:
What is the slope and y-intercept of this line: ?
Step 1: Move the y-term to the other side. We will add 4y.
Step 2: Move the constant to the other side. We will subtract 12.
Step 3: Divide by the coefficient in front of the y term. In this question, we divide all terms by 4.
Step 4: Identify the slope and the y-intercept. The slope is the number that is in front of the x term, and the y-intercept is the number that comes after the x-term.
In this question, the slope is and the y-intercept is
.
Find the slope of a line that passes through the points and
.
The formula for slope is:
Find the y-intercept of the equation of a line:
Step 1: Subtract from both sides:
Step 2: Divide by the coefficient of the y term..In this case, divide by .
Simplify and separate fraction on right side:
Step 3: Locate the y-intercept (also known as b):
If we compare our equation to the general slope-intercept form: , we see that
..
The value of is
.
Find the slope of a line that passes through points and
.
Slope is undefined.
The formula for slope is:
When the y coordinates are the same, as in this case both were -1, this would form a horizontal line. The slope of a horizontal line is zero.
Find the slope of a line that passes through points and
Slope is undefined.
The formula for slope is:
Slope is undefined.
If the x coordinates are the same, as in this problem both x coordinates are 4, then this will be a vertical line. The slope of a vertical line is undefined.
What is the slope () and the y-intercept
of the equation
and
and
and
and
The formula to find slope and y-intercept is:
and
Find the slope of a line that passes through the points and
.
Slope is undefined.
The formula for slope is:
Find the slope of a line that passes through points and
Slope is undefined.
The formula for slope is:
What is the slope and y-intercept of the following equation?
and
and
and
and
Subtract from both sides of the equation.
Write equation in the form of .
(
represents the y-intercept)