Question

A line passes through (7, -4) and (-3,4).

(NVM I FIGURED IT OUT)

Answer 1

Given :

Two points (7,-4) and (-3,4).

To Find :

The equation of line passes through the given points.

Solution :

We know, equation of line passing through two points (x₁, y₁) and (x₂, y₂) is given by :

`y - y_1 = ((y_2-y_1)/(x_2-x_1))(x-x_1)\\\\y-(-4) = ((4-(-4))/(-3-7))(x-7)\\\\y+4 = -(4)/(5)(x-7)\\\\5y+ 20 = -4x + 28\\\\5y + 4x = 8`

Therefore, equation of required line is 5y + 4x = 8.