Question

function a and function b are linear functions.
function a function b

x	y
-6	-23
-5	-19
1	5

y = 5x
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.

Explanation:

Step1: Find slope of Function A

Use slope - formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, take $(x_1,y_1)=(-6,-23)$ and $(x_2,y_2)=(-5,-19)$. Then $m_A=\frac{-19-(-23)}{-5 - (-6)}=\frac{-19 + 23}{-5+6}=\frac{4}{1}=4$.

Step2: Identify slope of Function B

The equation of Function B is $y = 5x$, in the form $y=mx + b$ (where $m$ is slope), so $m_B = 5$.

Step3: Compare slopes

Since $4<5$, $m_A

Answer:

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