Question

function a and function b are linear functions.
function a
(graph of function a: a line on a coordinate grid with x from -10 to 10 and y from -10 to 10, passing through points like (-10, 0) and (0, 3) approximately, blue line)
function b

x	y
-10	-24
-8	-20
6	8

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

From the graph, Function A passes through \((-10, 1)\) and \((0, 3)\) (approximate points from grid). Slope \(m_A=\frac{3 - 1}{0 - (-10)}=\frac{2}{10}=0.2\).

Step2: Find slope of Function B

Using two points from the table, e.g., \((-10, -24)\) and \((-8, -20)\). Slope \(m_B=\frac{-20 - (-24)}{-8 - (-10)}=\frac{4}{2}=2\).

Step3: Compare slopes

Since \(0.2<2\), slope of A < slope of B.

Answer:

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