Write the equation of the line that passes through the points (-4,5)(−4,5) and (2,-4)(2,−4). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Question

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Answer 1

(-4,5), (2,-4)

have a line through them with slope = (5+4)/(-4-2) = 9/-6=-3/2

y-5 = (-3/2)(x- -4) is in point slope form

or

y-5 = (-3/2)(x+4)

so is

y- -4 = (-3/2)(x-2) using the other point

or

y+4 = (-3/2)(x-2)

it might help to plot the points and graph the line, although not necessary, if you're very careful on the arithmetic and algebra

Answer 2

Prisha P.

Point Slope Form

m(x₂ - x₁) = y₂ - y₁

Where

m=(y₂ - y₁)/(x₂ - x₁)

Can you assign your points, calculate your slope and continue?