Question

Find the equation of the line passing through the given points. Express the equation in standard form. (4,5) and (-3,-1)

Answer 1

y = m x + b equation for a straight line

when x = 4 y = 5

5 = m * 4 + b

m = (5 - b) / 4 solving for m

when x = -3 y = -1

-1 = (5 - b) / 4 * -3 + b = -3 * (5 - b) / 4 + 4 b / 4

-1 = (-15 + 3 b + 4 b) / 4

11 = 7 b b = 11 / 7

Since m = (5 - b) / 4

m = (5 - 11/7) / 4 = 6/7

We then have y = 6 x / 7 + 11 / 7

Or 7 y = 6 x + 11

Check:

when (4 , 5) 35 = 24 + 11 = 35