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Passes through (-2, 1) and (2, -5)

User Spunky
by
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1 Answer

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Answer:

The equation of the line is:


y = -(3)/(2)x - 2

Explanation:

Equation of a line:

The equation of a line has the following format:


y = mx + b

In which m is the slope and b is the y-intercept.

Slope:

We have two points, (-2,1) and (2,-5). The slope is given by the change in y divied by the change in x. So

Change in y: -5 - 1 = -6

Change in x: 2 - (-2) = 2 + 4 = 4

Slope:
m = (-6)/(4) = -(3)/(2)

So


y = -(3)/(2)x + b

Passes through (-2, 1)

This means that when
x = -2, y = 1. We use this to find the y-intercept. So


y = -(3)/(2)x + b


1 = -(3)/(2)(-2) + b


1 = 3 + b


b = -2

So, the equation of the line is:


y = -(3)/(2)x - 2

User Tom Kadwill
by
7.3k points

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