Write an equation for the line passing through the points 43

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

Given two points are: ( 4, -3) and ( -2, 6)

Now, equation of line for points (x1, y1) and (x2, y2) is given by:

(y - y1) = y2 - y1/x2 - x1 (x- x1)

y - (-3) = 6 - (-3)/-2 - 4 (x - 4)

y + 3 = 9/-6 (x - 4)

(-6)(y + 3) = 9(x - 4)

-6y - 18 = 9x - 36

9x + 6y = 18

3x + 2y = 6 is the equation of the line.