Write an equation of the line passing through (-2,3) and (6,4)

y = 1/8 x + 13/4

Step-by-step explanation:

Equation of line

y - y1/x - x1  = y2 - y1/ x2 - x1

Where x1 = -2 , x2 = 6 , y2 = 4 , y1 = 3

y - 3 / x - (-2)  =  4 - 3 / 6 - (-2)

y-3/x+2 = 1/6+2

y-3/x+2 = 1/8

Cross multiply

8(y-3) = 1(x+2)

8y -24 = x + 2

8y = x +2 + 24

8y = x + 26

Divide both sides by 8

8y/8  = x/8 + 26/8

y = 1/8 x + 13/4

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