Find the equation of a line through the points (-10,-3) (5,-9)

y = 1.6x -17

Step-by-step explanation:

Point Slope Form:   y-y₁=m(x-x₁)

1. We will use this format to Find the equation of a line through the points (-10,-3) (5,-9)

2. Calculate the slope from 2 points

 m = y2 - y1 /   x2- x1

 m = -9 - (-3) /   5- (-10)

 m = -6/ 15

 m = 1.6

3. Substitute the slope for 'm' in the slope intercept form of the equation

y = mx +b

y = 1.6x +b

4. Substitute either point into the equation. You can use either (-10,-3) or (5,-9)

y = 1.6x +b

-9 = 1.6(5) + b

5. Solve for b, which is the y-intercept of the line

-9 = 1.6(5) + b

-9 = 8 + b

-9 = 8 + b

-17 = b

6. Substitute b, -17, into the equation from step 3

y = 1.6x +b

y = 1.6x -17

answer: .75 km

step-by-step explanation: