Question

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

Answer 1

Answer:

$2y - x = 14$

Step-by-step explanation:

Given

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

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

Required

The line equation

First, calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{5 - 3}{-4 - (-8)}$

$m = \frac{2}{4}$

$m = \frac{1}{2}$

The equation is then calculated as:

$y = m(x - x_1) + y_1$

$y = \frac{1}{2}(x - (-8)) +3$

$y = \frac{1}{2}(x +8) +3$

Open bracket

$y = \frac{1}{2}x +4 +3$

$y = \frac{1}{2}x +7$

Multiply through by 2

$2y = x + 14$

$2y - x = 14$