Question

function a and function b are linear functions.
function a

x	y
-8	-11
-6	-7
-4	-3

function b
$y = \frac{4}{3}x + 1$
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: Calculate slope of Function A

Use slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Take points \((-8, -11)\) and \((-6, -7)\).
\( m_A = \frac{-7 - (-11)}{-6 - (-8)} = \frac{4}{2} = 2 \).

Step2: Identify slope of Function B

Function B is \( y = \frac{4}{3}x + 1 \), so slope \( m_B = \frac{4}{3} \approx 1.333 \).

Step3: Compare slopes

\( 2 > \frac{4}{3} \), so \( m_A > m_B \).

Answer:

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