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ankoles [38]
3 years ago
15

A linear function contains the following points. what are the slope and the y- intercept?

Mathematics
1 answer:
Art [367]3 years ago
6 0

Answer:

Since

  • The slope is 1/4.
  • The y-intercept is (0, 3)

Therefore, option (A) is true.

Step-by-step explanation:

Determining the slope

Given the points

  • (-8, 1)
  • (0, 3)

Finding the slope between the points (-8, 1) and (0, 3)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-8,\:1\right),\:\left(x_2,\:y_2\right)=\left(0,\:3\right)

m=\frac{3-1}{0-\left(-8\right)}

m=\frac{1}{4}

Thus, the slope is 1/4.

Determining the y-intercept

We know that the value of y-intercept can be computed by setting the value x= 0 and determining the corresponding value of y.

From the table, it is clear that

at x=0, y = 3

Thus, the y-intercept is (0, 3)

Since

  • The slope is 1/4.
  • The y-intercept is (0, 3)

Therefore, option (A) is true.

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