Write an equation in slope intercept for for the line that passes through (3,5) and (-2,1)

The Answer is: y = 4/5x + 13/5

Step-by-step explanation:

Find the slope m:

m = (y - y1)/(x - x1)

m = (5 - 1) / (3 - (-2))

m = 4 / (3 + 2)

m = 4 / 5

Use the point slope form and one point. Choose (3, 5):

y - y1 = m(x - x1)

y - 5 = 4/5(x - 3)

y - 5 = 4/5x - 12/5

y = 4/5x - 12/5 + 5

y = 4/5x - 12/5 + 25/5

y = 4/5x + 13/5

Proof:

Let x = -2:

f(x) = 4/5x + 13/5

f(-2) = 4/5(-2) + 13/5

= -8/5 + 13/5

= 5/5

= 1. which gives (-2, 1)

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step-by-step explanation: