Question

function a and function b are linear functions.
function a

x	y
-8	-4
-4	-3
8	0

function b
graph of function b
which statement is true?
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.

Explanation:

Step1: Find slope of Function A

Use two points $(-8,-4)$ and $(8,0)$:
$m_A = \frac{0 - (-4)}{8 - (-8)} = \frac{4}{16} = \frac{1}{4}$

Step2: Find y-intercept of Function A

Use point $(8,0)$ in $y = mx + b$:
$0 = \frac{1}{4}(8) + b$
$0 = 2 + b$
$b_A = -2$

Step3: Identify y-intercept of Function B

From the graph, the line crosses the y-axis at $y=-1$, so $b_B = -1$

Step4: Compare the two y-intercepts

$-2 < -1$, so $b_A < b_B$

Answer:

The y-intercept of Function A is less than the y-intercept of Function B.