(1,2) and (-1,5) what is the equuation in slope formula equals mx+b

Answer 1

Answer in fraction form:: y = -(3/2)x + 7/2

Answer in decimal form: y = -1.5x + 3.5

Procedure:

Step One: Find slope m = (y2 - y1) / (x2 - x1) = (5 - 2) /((-1) - 1) = 3/(-2) = -(3/2)

Step Two: Solve for the y-intercept (b) this way:

Plug the calculated slope (m) and one point's (x,y) coordinate set into the equation y = mx + b to find the y-intercept (b). I choose (1,2) because they are non-negative numbers.

y = mx + b is 2 = (-(3/2))(1) + b

So 2 = -(3/2) + b

Add 3/2 to both sides of the equation to isolate (b).

b = 2 + 3/2 = 4/2 + 3/2 = 7/2 = 3.5