Question

Write an equation in slope-intercept form of the line shown. (8,4) (4,1)
Y=

Answer 1

Explanation:

First, we have to find the 'm' in the equation, "y = mx + c"

`m = (y2 - y1)/(x2 - x1) \\ m = (4 - 1)/(8 - 4) \\ m = (3)/(4)`

Then we replace the 'm' in the equation

y = mx + c

Then substitute one of the coordinates into the equation

`4 = ( (3)/(4) * 8) + c \\ 4 = (3 * 2) + c \\ 4 = 6 + c \\ c = 4 - 6 \\ c = - 2`

Therefore, the equation is;

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