Question

What is the equation of the line passing through `(3,-4)` and `(-5,-1)`?

Answer 1

4x + 8y + 20 = 0

Explanation:

we know equation of a line passing through `(x_1,y_1) and (x_2, y_2)`

=`[y-y_1]/[x-x_1] = [y_2-y_1]/[x_2-x_1]`

So equation of line passing through (3, -4) and (-5, -1) =

`[y-(-4)]/[x-3] = [-1-(-4)]/[-5-3]`

or, `[y+4]/[x-3] = [-1+5]/[-8]`

or, `-8(y+4) = 4(x-3)`

or,`-8y-32 = 4x-12`

or, 4x + 8y + 32 - 12 = 0

or, 4x + 8y + 20 = 0