A-The slope is2/3 and the y-intercept is -2 B-The slope is 2/3,and the y-intercept is 3 C-The slope is 3/2,and the y-intercept is -2 D-The slope is3/2, and the y-intercept is 3<…

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asked Feb 14, 2021 137k views

1 Answer

Jave · Answer 1 · 2021-02-21T10:37:43+0000

Answer:

A

Explanation:

The letter m is usually used to refer to the slope. To calculate it, we divide the change in y over the change in x.

m=(y_(2)-y_(1))/(x_(2)-x_(1))

In order to find this, we must find at least 2 coordinates that we know the function passes through.

In this case, we can see that the function passes through the point (3,0) and (0,-2).

m=(0-(-2))/(3-0) = (2)/(3)

Now that we know that the slope is
(2)/(3) we can ignore options C and D since
$(3)/(2) \\eq (2)/(3)$

The y-intercept is the y value were the function touches the y axis.

In this case, we can see that the only point where the function touches the y axis (the vertical one) is -2

Let me know if you'd like me to explain something in more detail. Good luck!