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

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

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

D. The zero of k is 3.

Fr someone help me

Respuesta :

mhanifa

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

Option B

Let's verify

Slope of graph:-

[tex]\\ \sf\longmapsto m=\dfrac{8-0}{1+3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{8}{4}[/tex]

[tex]\\ \sf\longmapsto m=2[/tex]

Hence k=2(Proved)

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