Questions: Function A and Function B are linear functions. Function A Function B x y -9 -4 7 12 9 14 y=3x-5 Which statements are true? Select all that apply. 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. The y-intercept of Function A is greater than the y-intercept of Function B. The y-intercept of Function A is less than the y-intercept of Function B.

Solution Steps

To determine the slopes and y-intercepts of Function A and Function B, we can use the given points to find the equations of the lines. Then we can compare the slopes and y-intercepts to determine which statements are true.

Given the points \((-9, -4)\), \((7, 12)\), and \((9, 14)\) for Function A and Function B, we can write the equations of the lines as: \[ \begin{aligned} y &= 3x - 5 \quad \text{(Function A)} \\ y &= 2x + 13 \quad \text{(Function B)} \end{aligned} \]

Comparing the slopes of the two functions:

• Slope of Function A: \(3\)
• Slope of Function B: \(2\)

Comparing the y-intercepts of the two functions:

• Y-intercept of Function A: \(-5\)
• Y-intercept of Function B: \(13\)

Final Answer