Question

Write an equation that goes through the ordered pairs (2,-1) and (4,-6) ​

Answer 1

y = -5/2x +4

Explanation:

Find the slope:

m = (y2 - y1) / (x2 - x1)

m = (-6 - (-1)) / (4 - 2)

m = -5 /2

y = mx + b

y = -5/2x + b

Solve for b:

y = -5/2x + b

-1 = (-5/2)(2) + b

-1 = -10/2 + b

-1 = -5 + b

b = 4

y = -5/2x + 4