Question

Determine the equation of the line which passes through the points $(0,-8)$ and $(7,0)$.

Answer 1

Given points are $(0,-8)(7,0)$

$\therefore$ slope $m=$ $\frac{0-(-8)}{7-0}=\frac{8}{7}$

Equation of the line in standard form: $y-y_1=m(x-x_1)$

After sustituing the value of $m$ and $(x,y)=(0,-8)$ we get:

$y-(-8)=\frac{8}{7}(x-0)$

$y+8=\frac{8}{7}x$

$7y+56=8x$

$7y=8x-56$