Question

function a and function b are linear functions.
function a
$y = 4x + 3$
function b

x	y
-1	-8
5	10
10	25

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: Identify slope of Function A

For linear form $y=mx+b$, $m$ is slope.
Function A: $y=4x+3$, so slope $m_A=4$.

Step2: Calculate slope of Function B

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
Take points $(-1,-8)$ and $(5,10)$:
$m_B=\frac{10-(-8)}{5-(-1)}=\frac{18}{6}=3$

Step3: Compare the two slopes

$4 > 3$, so $m_A > m_B$.

Answer:

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