Slope & Intercept

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GRE Quantitative Reasoning › Slope & Intercept

Questions 1 - 10
1

Find the slope of a line that passes through and

Explanation

The formula for slope is:

2

What is the slope and y-intercept of this line: ?

Explanation

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 .

3

Find the slope of a line that passes through the points and .

Explanation

The formula for slope is:

4

Find the y-intercept of the equation of a line:

Explanation

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 .

5

Find the slope of a line that passes through points and .

Slope is undefined.

Explanation

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.

6

Find the slope of a line that passes through points and

Slope is undefined.

Explanation

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.

7

What is the slope () and the y-intercept of the equation

and

and

and

and

Explanation

The formula to find slope and y-intercept is:

and

8

Find the slope of a line that passes through the points and .

Slope is undefined.

Explanation

The formula for slope is:

9

Find the slope of a line that passes through points and

Slope is undefined.

Explanation

The formula for slope is:

10

What is the slope and y-intercept of the following equation?

and

and

and

and

Explanation

Subtract from both sides of the equation.

Write equation in the form of .

( represents the y-intercept)

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