Question

A line goes through the points (-3, -2) and (3, 6). Write the equation of the line in Slope-Intercept form, y = mx + b.​

Answer 1

LET US FIND THE GRADIENT

`m = (y2 - y1)/(x2 - x1 \\ \\ ) \\ = (6 - ( - 2))/((3 - ( - 3)) \\ = (6 + 2)/(3 + 3) \\ = (8)/(6) \\ m= (4)/(3)`

I WILL USE THE POINTS (-3,-2) TO GET THE VALUE OF C

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

THEREFORE THE EQUATION IS

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

ATTACHED IS THE SOLUTION