Question

Write an equation in slope intercept form of the line that passes through (0,2) (8,8)

Answer 1

Explanation:

Hey, there!!

You can get your answer simply, just remember the two point formula,

Given, the points are (0,2),(8,8).

We have, Formula for two points is,

`(y - y1) = (y2 - y1)/(x2 - x1) (x - x1)`

Put all values here,

`(y - 2) = (8 - 2)/(8 - 0) (x - 0)`

`(y - 2) = (6)/(8) (x -0)`

`(y - 2) = (3)/(4) (x - 0)`

multiply (y-4) by 4 and (x-0) by 3.

`(4y - 8) = 3x`

Bringing 4y and -8 on same side of 3x.

`0 = 3x - 4y + 8`

`or \: 3x - 4y + 8 = 0`

Therefore, 3x-4y+8=0..... is the required equation.

Hope it helps..