What is an equation of the line that passes through the points (4,-2) and (8,3)?

Equation: Y = 5/4x -7

Step-by-step explanation:

y2 - y1

              < This is your slope equation

x2 - x1

3 - (-2)

8 - 4

3 + 2

8 - 4

5

    <    This is your slope

4

Y = mx+b            < Your second equation

3 = 5/4 (8) + b                 < Your new equation

3 = 10 + b                 < You times 5 by 10 and then divide it by 4

- b + 3 = 10                   <    Subtract  b

- b = 7                             < Subtract  3

b = -7                                  < switch the negative sign

Your equation will be:

Y = 5/4 -7

Hope that helps! :)

step-by-step explanation: