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what is an equation in point-slope form for the line that passes through the points (4,-1) and (-3,4)?

what is an equation in point-slope form for the line that passes through the points-example-1
User QuentinC
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1 Answer

3 votes

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

the equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 3, 4)

m =
(4+1)/(-3-4) =
(5)/(-7) = -
(5)/(7)

use either of the 2 points as a point on the line

using (a, b) = (- 3, 4 ), then

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


User Jacoblambert
by
8.6k points

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