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Write the equation of the line determined by the given pair of points in slope-intercept form. (-1,4) and (5,2)

User Cam
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1 Answer

2 votes

Answer:

y = -
(1)/(3) x +
(11)/(3)

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

with (x₁, y₁ ) = (- 1, 4 ) and (x₂, y₂ ) = (5, 2 )

m =
(2-4)/(5-(-1)) =
(-2)/(5+1) =
(-2)/(6) = -
(1)/(3) , then

y = -
(1)/(3) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 1, 4 )

4 = -
(1)/(3) (- 1) + c =
(1)/(3) + c ( subtract
(1)/(3) from both sides )

4 -
(1)/(3) = c , that is

c =
(12)/(3) -
(1)/(3) =
(11)/(3)

y = -
(1)/(3) x +
(11)/(3) ← equation of line

User Nik Haldimann
by
8.2k points

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