Question

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

Answer 1

Answer:

y = -5/2x +4

Step-by-step 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