Q:

A student says that (0, -2) is a solution of 9x-6=3y Are they correct or incorrect? Why?

Accepted Solution

A:
Answer: at y-intercept: (0,2) is the correctStep-by-step explanation: We have equation 1  9x-6=3yto find the x-intercept, substitute in 0 for y and solve for x3(0)=9x+63(0)=9x+69x+6=0Subtract 6 from both sides  9x=−6So x = -6/9 = -2/3Now to find for y-intercept, substitute in 0 for x and solve for y3y=9(0)+63y=0+63y=6These are the x and y intercepts of the equation 3y=9x+6x-intercept: (−2/3,0)y-intercept: (0,2)