Question

function a and function b are linear functions. function a: x | y -1 | -9 3 | 11 5 | 21 function b: y = 2x + 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.

Explanation:

Step1: Calculate slope of Function A

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Using points $(-1, -9)$ and $(3, 11)$ from Function A:
$m_A = \frac{11 - (-9)}{3 - (-1)} = \frac{20}{4} = 5$

Step2: Identify slope of Function B

Function B is $y = 2x + 2$, so its slope $m_B = 2$ (from $y = mx + b$ form).

Step3: Compare slopes

Since $5 > 2$, $m_A > m_B$.

Answer:

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