Question

function a and function b are linear functions. function a (graph of a line on coordinate plane) function b ( y = 4x - 5 ) which statement is true? the ( y )-value of function a when ( x = 1 ) is greater than the ( y )-value of function b when ( x = 1 ). the ( y )-value of function a when ( x = 1 ) is less than the ( y )-value of function b when ( x = 1 ).

Explanation:

Step1: Find Function A's equation

First, identify two points on Function A's graph: $(0, -2)$ (y-intercept, $b=-2$) and $(1, 3)$. Calculate slope $m$:
$m = \frac{3 - (-2)}{1 - 0} = 5$
Equation: $y = 5x - 2$

Step2: Calculate y for Function A at x=1

Substitute $x=1$ into Function A:
$y = 5(1) - 2 = 3$

Step3: Calculate y for Function B at x=1

Substitute $x=1$ into Function B:
$y = 4(1) - 5 = -1$

Step4: Compare the two y-values

$3 > -1$, so Function A's y-value is greater.

Answer:

The y-value of Function A when x = 1 is greater than the y-value of Function B when x = 1.