Question

function a
function b
$y = 4x - 5$
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

Use two points on the line, e.g., $(0, -2)$ and $(2, 0)$. Slope formula: $\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$
$\text{slope}_A = \frac{0 - (-2)}{2 - 0} = \frac{2}{2} = 1$

Step2: Identify slope of Function B

Function B is $y=4x-5$, in $y=mx+b$ form, $m=4$.
$\text{slope}_B = 4$

Step3: Compare the two slopes

$1 < 4$, so slope of A < slope of B.

Answer:

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