function a and function b are linear functions. function a function b which statement is true? the slope of…

function a and function b are linear functions. function a function b which statement is true? the slope of function a is greater than the slope of function b. the slope of function a is less than the slope of function b.

function a and function b are linear functions. function a function b which statement is true? the slope of function a is greater than the slope of function b. the slope of function a is less than the slope of function b.

Answer

Explanation:

Step1: Calculate the slope of Function A

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Using the points ((-7,-8)) and ((-4,-5)) from Function A: (m_A=\frac{-5-(-8)}{-4 - (-7)}=\frac{-5 + 8}{-4+7}=\frac{3}{3}=1)

Step2: Calculate the slope of Function B

From the graph of Function B, we can use two points. Let's take ((0,3)) (y - intercept) and ((1,6)). Using the slope formula (m=\frac{y_2 - y_1}{x_2 - x_1}), with (x_1 = 0,y_1=3,x_2 = 1,y_2=6) (m_B=\frac{6 - 3}{1-0}=\frac{3}{1}=3)

Answer:

The slope of Function A is less than the slope of Function B.