Respuesta :
Answer:
Ok so right now that is in standard form (Ax+by=C) and we want to get this into y=mx+b form so that we can easily identify the slope. To do that we need to get y alone by folowing these steps:
9x-3y=81
9x-9x-3y=81-9x (in this step we are just getting rid of the x's from the left side so we can get y alone but since we subtract x from that side we need to subtract the same amount of x's on the other)
-3y=81-9x
-3y/-3=81-9x/-3 (finally to get y alone we need to divide by a -3. This is because any negative number multiplied or divided by another negative will give us a positive. If we divide by 3 then y will be negative which is incorrect. We have to divide by -3 on each side)\
y=81-9x/-3 -----> y=-27+3x ( in this part we have to divide everything on the right side of the equation by -3 as we did on the left side. 81/-3 = -27 and -9x/-3 = +3x.
our new equation is y=-27+3x although the proper form is y=mx+b.
all we need to do now is flip the 3x and -27 for this equation to match y-mx+b form. M in the equation represents the slope of an equation.
y=-27+3x---> y=3x-27
in this equation 3 is m and m represents the slope. For an line to be parralel to one another they must have the same slope. Therefore the slope of a line parallel to that equation is 3.
Step-by-step explanation:
