Find the equation of the line passes through the point 89 an

Find the equation of the line passes through the point (-8,9) and as a slope of 2/3 . Write your equation in standard form. Ax+By=C where A,B, and C are integers and A>0. \'A=0\'

Solution

equation of line in the slope form is

y - y1 = m(x - x1)

Point (x1, y1) = (-8, 9)

slope = 2/3

y - 9 = (2/3)*(x - (-8))

3*(y - 9) = 2*(x + 8)

3y - 27 = 2x + 16

2x - 3y = -27 - 16

2x - 3y = -43

A = 2

B = -3

C = -43