Question

pls help i need it . A linear function contains the following points. What are the slope and y-intersept of this function?

Answer 1

Answer: Choice A

Slope is -1

y intercept is (0,6)

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Step-by-step explanation:

Let's start with the slope. We'll use the aptly named slope formula.

Each row in the table represents a different (x,y) point.

`(x_1,y_1) = (-2,8) \text{ and } (x_2,y_2) = (0,6)\\\\m = (y_(2) - y_(1))/(x_(2) - x_(1))\\\\m = (6 - 8)/(0 - (-2))\\\\m = (6 - 8)/(0 + 2)\\\\m = (-2)/(2)\\\\m = -1\\\\`

The slope is -1. This means the answer is between choice A or choice B.

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The y intercept is very easy to spot for this particular table.

The y intercept always has x = 0. From the table, we see that x = 0 in the second row which points to 6 being the y intercept. More specifically, the location of the y intercept is (0,6)

This means we can rule out choice B and go for choice A as the final answer.

Answer 2

A

Step-by-step explanation:

We will use the formula for finding slope rise/run = y2 - y1/x2 - x1

6 - 8/0 - -2 = -2/2 = -1

And for the y-intercept, if x is 0 on that point, the y value is the y-intercept.

On this table, when x was 0, y was 6. So 6 is the y-intercept.