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Use a system of equations to find the equation of a line, in slope-intercept form, that contains the given points, (-2, 1) and (8,-1). Submit your system of equations, solution steps, and your final equation.

Answer :

MrGumby

Answer:

The equation would be y = -1/5x + 3/5

Step-by-step explanation:

To find the equation, start by finding the slope. You can do this using the slope equation below with the given points.

m(slope) = (y2 - y1)/(x2 - x1)

m = (1 - -1)/(-2 - 8)

m = 2/-10

m = -1/5

Now that we have this, we can plug it along with either point into point-slope form. Then solve for y.

y - y1 = m(x - x1)

y - 1 = -1/5(x + 2)

y - 1 = -1/5x - 2/5

y = 1/5x + 3/5

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