Question

function a and function b are linear functions. function a (graph of a line on a coordinate plane with x from -10 to 10 and y from -10 to 10) function b y = 5x - 4 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

Using two points on Function A, e.g., \((0, -5)\) and \((2, -1)\) (from the graph). Slope formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\). So \(m_A=\frac{-1 - (-5)}{2 - 0}=\frac{4}{2}=2\).

Step2: Find slope of Function B

Function B is \(y = 5x - 4\), slope \(m_B = 5\) (from \(y = mx + b\)).

Step3: Compare slopes

\(m_A = 2\), \(m_B = 5\). So \(2 < 5\), meaning slope of A is less than B.

Answer:

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