Question

The graph of linear function k passes through the points (-3, 0) and (1, 8). Which statement must be true?

Answer 1

Answer:

• B. The slope of the graph of k is 2.

Step-by-step explanation:

Find the equation of the line.

The slope is:

• m = (8 - 0)/(1 + 3) = 2

The y-intercept is:

• 0 = -3*2 + b
• b = 6

The line is:

• y = 2x + 6

Now lets look at the answer options

A. The x-Intercept of the graph of k is 8.

• The x- intercept is -3, False

B. The slope of the graph of k is 2.

• m = 2, True

C. The graph of k passes through (-1, -8).

• -8 = 2(-1) + 6
• -8 = 4, False

D. The zero of k is 3.

• x = 0 ⇒ y = 0+ 6 = 6,  False

Answer 2

Option B

Let's verify

Slope of graph:-

$\\ \sf\longmapsto m=\dfrac{8-0}{1+3}$

$\\ \sf\longmapsto m=\dfrac{8}{4}$

$\\ \sf\longmapsto m=2$

Hence k=2(Proved)