Question

Write an equation of the line that passes through (−2,3) and (0,8).

Answer 1

`y = (5)/(2)x + 8`

Explanation:

(-2 , 3 ) ; (0 , 8)

Slope =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

`= (8-3)/(0-[-2])\\\\=(5)/(0+2)\\\\=(5)/(2)`

m = 5/2 ; (0 , 8)

Equation: y -y1 = m(x -x1)

`y - 8 =(5)/(2)(x - 0)\\\\y - 8 =(5)/(2)x\\y = (5)/(2)x + 8`