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# Find an equation for the line with the given properties. Express the equation in slope-intercept form.?

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- MichaelLv 71 month agoFavorite Answer
Slope intercept form is

y = mx + b

m is the slope

b is the y-intercept

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Find the slope

m = rise/run

m = ∆y/∆x

m = (y₂ - y₁) / (x₂ - x₁)

m = (-1 - -3) / (-3 - -4)

m = 2/1

m = 2

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To find "b" plug in m = 2 and either point into the slope intercept formula

using point (-3, -1)

y = mx + b

-1 = 2(-3) + b

-1 = -6 + b

b = 5

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With m = 2 and b = 5 the equation becomes

y = 2x + 5 <–––––––

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