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Write an equation in slope-intercept form that passes through (-8, -1) and (-7,3).

User Yeimy
by
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1 Answer

4 votes

Answer:

y = 4x + 31

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 ) = (- 8, - 1 ) and (x₂, y₂ ) = (- 7, 3 )

m =
(3-(-1))/(-7-(-8)) =
(3+1)/(-7+8) =
(4)/(1) = 4 , then

y = 4x + c ← is the partial equation

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

using (- 7, 3 ) , then

3 = - 28 + c ⇒ c = 3 + 28 = 31

y = 4x + 31 ← equation of line

User Paxal
by
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