Question

What is the equation of the line passing through `(0,-12)` and `(8,72)`?

Answer 1

`y=21/2x-12`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"to calculate m use the "color(blue)"gradient formula"`

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(0,-12)" and "(x_2,y_2)=(8,72)`

`m=(72-(-12))/(8-0)=84/8=21/2`

`"note that "b=-12to(0,color(red)(-12))`

`y=21/2x-12larrcolor(red)"is the equation of the line"`