Find the equation of the linear function represented by the table

Find the equation of the linear function represented by the table below in slope-intercept form.
x y
1 -5
2 -8
3 -11
4 -14

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I got this!

Use any two points to find the slope.

(1,-5) and (2,-8)
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-8 - (-5)
—————- = slope {subtracted y-coordinates over subtraction of x-coordinates......”rise over run”}
2 - 1

-3/1 = slope {subtracted in numerator and denominator}
slope = -3

Use the slope and any point, and substitute into slope-intercept form, to find the y-intercept.

y = mx + b {slope-intercept form}
m is the slope and b is the y-intercept

(1,-5) is a point and -3 is the slope
y = mx + b {slope-intercept form}
-5 = -3(1) + b {substituted -5 for y, -3 for m, and 1 for x}
-5 = -3 + b {multiplied -3 by 1}
b = -2 {added 3 to each side}
y-intercept = -2

slope is -3 and y-intercept is -2

Substitute into slope-intercept form.
y = -3x - 2 is the equation of the line

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