#### Compare linear functions

Function A and Function B are linear functions.

Function A - 2x + 2

Function B

Which function has the greater slope?

Anonymous

0

Function A and Function B are linear functions.

Function A - 2x + 2

Function B

Which function has the greater slope?

Sangeetha Pulapaka

0

STEP 1: Find the slope for function A

Recall the slope intercept form of a line

http://www.math.com/school/subject2/lessons/S2U4L2GL.html

y = mx + b is the slope-intercept form of a line

Comparing this with function A which is 2x +2

we get m = 2. So, the slope is 2

STEP 2: Find the slope for function B

Recall how to find the slope from two given points

https://www.khanacademy.org/math/algebra/two-var-linear-equations/slope/e/slope-from-two-points

The first set of points from the table is (-8,-19) and (-1,2)

Use the slope formula m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Plugging in the values of y_{2} = 2 and y_{1}= -19,

x_{2}=-1 and x_{1}= -8

we get m = 3

STEP 3: Compare the slopes

Since 3 > 2 we know function B has the greater slope