Answer:
Step-by-step explanation:
This assume we have a straight line.
The slope of a line is the change in y corresponding to a change in x. That, is, slope tells us how much y will change every time x changes by 1 unit. E.g., a slope of 2 means that if we increase x by 1, y will increase by 2.
This means if we have two points, we can calculate the slope for a straight line. Slope is often referred to as the "Rise/Run."
Take the two given points and calculate both the Rise and the Run:
(8,-15) and (15,-5).
Going from left to right, from x = 8 to 15:
Rise = (-5-(-15)) = 10
Run = (15 - 8) = 7
Slope: Rise/Run = 10/7
The slope is (10/7)
See the attachment for an example, assuming we have a line that is:
y = (10/7) + b
We aren't given the value of b, the y-intercept, but we can calculate it by entering one of the two points in the y=(10/7)x + b equation and solve for b. I'll use point (15,-5):
y = (10/7) + b
-5 = (10/7)(15) + b
b = -(185/7)
y = (10/7)x - (185/7)
