Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C. m = -3 , (-6,-9) The equation of the line in the form Ax + By= C is

Answer 1

y = mx+b

y = (-3)x + b <--- substitutes the given slope

(-6,-9) means x=-6 and y = -9

-9 = (-3)(-6) + b

-9 = 18 + b

b = -27

y = (-3)x + -27

3x + y = -27

A=3, B = 1, C = -27

Answer 2

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C. m = -3 , (-6,-9) The equation of the line in the form Ax + By= C is

Ax + By = C is in Standard Format; the slope, m, is (-A/B). m = -3, so A=3 and B=1.

3x + y = C and we need the point (-6.9) to determine C.

3(-6)+(-9) = C

-27 = C

3x + y = -27