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)
(-4,-12)
(1,-2)
(6, 8)
(11, 18)

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Find the slope of the line using any two points.

change in y
——————— = slope
change in x

18 - 8
———- = slope
11 - 6

10/5 = slope

slope = 2

Substitute the slope in, with one point, into slope-intercept form, in order to find the y-intercept.

Slope-intercept form is y = mx + b
m is the slope
b is the y-intercept

Substitute the slope, 2, in for m, and the coordinates of one point in for x and y.

y = mx + b {slope-intercept form}

(1,-2) is a point and 2 is the slope
-2 = 2(1) + b {substituted into slope-intercept form}
-2 = 2 + b {multiplied 2 by 1}
b = -4 {subtracted 2 from each side}

Substitute the slope, 2, and the y-intercept, -4, back into slope-intercept form.

y = 2x - 4 is the equation of the line

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