Get the equation of the line in slope-intercept form

Get the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (-1,8).

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

Substitute point and slope into slope-intercept form to get the y-intercept.

slope = -2 and point (-1,8)
y = mx + b   {slope-intercept form}
8 = -2(-1) + b   {substituted coordinates of point and slope into slope-intercept form}
8 = 2 + b   {multiplied -2 by -1}
b = 6   {subtracted 2 from each side}
y-intercept = 6

Substitute slope and y-intercept into slope-intercept form.

slope = -2 and y-intercept = 6
y = mx + b   {slope-intercept form}
y = -2x + 6 is the equation of the line

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