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

Answer 1

slope intercept equation of a line is y = mx + b, where m = slope and b is y-coordinate where line crosses y axis (y intercept).

Need to find m and b.

Find m using two points (-2,3) and (0,8) = 8-3 / 0--2 = 5/2

so we have y = 5/2 x + b

to find b, we can substitute one of the given points for x and y into the equation and solve for b:

8 = 5/2 (0) + b

8 = b

y = 5/2 x + 8