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Find the equation of the line through the points (-8,3) and (-4,5).

1 Answer

10 votes

Answer:


2y - x = 14

Explanation:

Given


(x_1,y_1) = (-8,3)


(x_2,y_2) = (-4,5)

Required

The line equation

First, calculate the slope (m)


m = (y_2 - y_1)/(x_2 - x_1)


m = (5 - 3)/(-4 - (-8))


m = (2)/(4)


m = (1)/(2)

The equation is then calculated as:


y = m(x - x_1) + y_1


y = (1)/(2)(x - (-8)) +3


y = (1)/(2)(x +8) +3

Open bracket


y = (1)/(2)x +4 +3


y = (1)/(2)x +7

Multiply through by 2


2y = x + 14


2y - x = 14

User Lukehawk
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