Write an equation in standard form of the line passing throu

Write an equation in standard form of the line passing through the points (7, 4 and (-5, 7). The equation is Type your answer in standard form.).

Solution

The equation of a line passing through 2 points is

y-y1=m(x-x1), so m = y2-y1/x2-x1 =

(7,4) (-5,7) so y2-y1 = 7-4 = 3

x2-x1 = -5-7 = -12 so y -4 = -(3/12)*(x-7)

4y-16=-x+7

4y+x= 23