Question

Carmin is trying to find the equation of a line that passes through the points (-1,16) and (5,88) . Does the equation y=12x+28 work

Answer 1

Yes! The equation, y = 12x + 28 , work.

Explanation:

The line passes through points (-1, 16) and (5, 88)

The slope of the line = change in y ÷ change in x

i.e slope =
`(88 - 16)/(5 - -1)` = 12

Taking another point (x ,y) on the line;

Slope is
`(y - 16)/(x - -1)` = 12

y - 16 = 12x + 12

y = 12x + 12 + 16

y = 12x + 28

So the equation, y = 12x + 28, work!