McGraw-Hill Education GRE 2019

y

x

Positive slope/atter

To determine the slope of a line, you are looking for the ratio of how much the line

rises vertically to how much the line moves horizontally.

If you are given two points on a line, you can always calculate the slope.

Given points (x 1 ,y 1 ) and (x 2 ,y 2 ), the formula for the slope of a line is:

m = yx^22 – y – x^11

What is the slope of a line that contains the points (2,3) and (5,7)?

SOLUTION: Use the preceding formula: xy^2 – y^1

2 – x 1

= 7 – 35 – 2 =^43.

Line k passes through the points (2,3) and (4,6).

QUANTITY A QUANTITY B

The slope of line k 2

SOLUTION: Plug the above values into the slope formula: yx^2 – y^1

2 – x 1

= 6 – 34 – 2 =^32.

2 >^32 , so Quantity B is greater.

432 PART 4 ■ MATH REVIEW

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