Question

Write a function in the form y=mx+b for the line that contains the points (-8.3, -5.2) and (6.4,9.5)

Answer 1

y = x + 3.1

Explanation:

As we move from (-8.3, -5.2) to (6.4,9.5), the horizontal change ("run") is 14.7 and the vertical change is 14.7. Thus, the slope is m = rise / run = 14.7 / 14.7 = 1.

Write out y = mx + b. Because m = 1, we have

9.5 = 1(6.4) + b, or 9.5 = 6.4 + b, with the result that b = 3.1

and so the desired equation is y = x + 3.1