Question

Write the equation of the line, in slope intercept form, through the following points:

(16, -5)
(21, -20)
I need to know the slope, the Y intercept, and the equation

Answer 1

Hey!

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First, find the slope.

y2-y1/x2-x1

-20-(-5)/21-16

-15/5

-3

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Second, find the y-intercept.

We can solve for b with one of the points.

Put into slope-intercept form,

y = -3x + b

Substitute x and y with (16, -5)

-5 = -3(16) + b

-5 = -48 + b

-5 + 48 = -48 + b + 48

43 = b

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Third, put in slope-intercept form.

y = mx + b

m = slope

b = y-intercept

y = -3x + 43

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Hope This Helped! Good Luck!