What is the equation in point-slope form of the line passing through (–2, 0) and (2, 8)?

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What is the equation in point-slope form of the line passing through (–2, 0) and (2, 8)?

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Answer 1 · 2016-06-11T07:43:52

#y = 2x + 4#

Explanation:

One method is to find the slope (m) first and then use that and one of the points (x,y) in #y = mx + c#.
Substituting those three values will allow you to find #c#.

A quicker and easier method is to use the formula for the equation of a straight line if you have 2 points:

#(y-y_1)/(x-x_1) = (y_2 - y_1)/(x_2 - x_1)#

#(y- 0)/(x-(-2)) = (8 -0)/(2-(-2)#

#y/(x+2) = 8/4 = 2/1 " cross multiply"#

#y = 2x + 4#

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What is the equation in point-slope form of the line passing through (–2, 0) and (2, 8)?

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