Question

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

$x$	$y$
$-3$	$-5$
$4$	$2$

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.
submit

Explanation:

Step1: Find slope of Function A

Function A is \( y = 4x + 4 \), in slope - intercept form \( y=mx + b \) (where \( m \) is slope), so slope of A (\( m_A \)) is \( 4 \).

Step2: Calculate slope of Function B

Use slope formula \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Take two points from Function B's table, e.g., \((-8,-10)\) and \((-3,-5)\).
\( m_B=\frac{-5-(-10)}{-3 - (-8)}=\frac{-5 + 10}{-3+8}=\frac{5}{5}=1 \).

Step3: Compare slopes

Since \( 4>1 \), slope of A is greater than slope of B.

Answer:

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