** HELP ASAP!! **write an equation in slope intercept form of the line parallel to the graph of 9x+3y=6 that passes through (5,3)

Answer 1

9x + 3y = 6

3y = -9x +6

y = -3x +2 is a line with slope = -3

the slope = the coefficient of the x term when the equation is solved for y

any parallel line has the same slope, but with a different y intercept, not equal to 2

y =-3x + b, plug in the point (5,3) to find the different y intercept

3 =-3(5) + b

b = 3-15 = -12

y =-3x -12 is the parallel line through (5,3)