Question

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

Answer 1

Step-by-step 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,

$(y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)$

Put all values here,

$(y - 2) = \frac{8 - 2}{8 - 0} (x - 0)$

$(y - 2) = \frac{6}{8} (x -0)$

$(y - 2) = \frac{3}{4} (x - 0)$

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..