Question

function a and function b are linear functions.
function a

x	y
-8	-9
4	0
8	3

function b
(graph of a line on a coordinate plane with x-axis from -10 to 10 and y-axis from -10 to 10, passing through points, etc.)
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: Calculate slope of Function A

Use slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Take points \((-8, -9)\) and \((4, 0)\):
\( m_A = \frac{0 - (-9)}{4 - (-8)} = \frac{9}{12} = \frac{3}{4} = 0.75 \).

Step2: Calculate slope of Function B

From the graph, two points are \((0, 4)\) and \((2, 10)\) (or use intercept and another point).
\( m_B = \frac{10 - 4}{2 - 0} = \frac{6}{2} = 3 \).

Step3: Compare slopes

\( 0.75 < 3 \), so slope of A < slope of B.

Answer:

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