Find the equation of the line that passes through the points ( 8, - 15 )and(-2,5). write the equation in y=mx = b form.

slope = (5+15)/(-2-8) = -2

now you have m=-2
Use that and one of the points to sub into the equation
y = mx + b
find b and you are done.

To find the equation of the line in y = mx + b form, where m is the slope and b is the y-intercept, follow these steps:

Step 1: Find the slope (m)
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
m = (y2 - y1) / (x2 - x1)

Given points: (8, -15) and (-2, 5)
Using the formula, we can calculate the slope:
m = (5 - (-15)) / (-2 - 8)
= 20 / (-10)
= -2

Therefore, m = -2.

Step 2: Find the y-intercept (b)
To find the y-intercept (b), substitute one of the given points into the equation y = mx + b.

Using the point (8, -15):
-15 = -2(8) + b
-15 = -16 + b
b = 1

Therefore, b = 1.

Step 3: Write the equation
Now that we have the values for m and b, we can write the equation in y = mx + b form.

Substituting the values:
y = -2x + 1

So, the equation of the line passing through the points (8, -15) and (-2, 5) is y = -2x + 1.