what is the intercepts of 3x-9=3y
Set x = 0 and solve for y.
Set y = 0 and solve for x.
What is 3x-9=3y
To find the intercepts of the equation 3x - 9 = 3y, we need to determine the values of x and y when the line crosses the x- and y-axis.
To find the x-intercept, we set y to 0. Let's substitute y = 0 into the equation:
3x - 9 = 3(0)
Simplifying further, we get:
3x - 9 = 0
Next, isolate x by moving the constant term to the other side of the equation:
3x = 9
Divide both sides of the equation by 3:
x = 3
So the x-intercept is (3, 0).
To find the y-intercept, we set x to 0. Let's substitute x = 0 into the equation:
3(0) - 9 = 3y
Simplifying further, we get:
-9 = 3y
Divide both sides of the equation by 3:
-3 = y
So the y-intercept is (0, -3).
Therefore, the intercepts of the equation 3x - 9 = 3y are (3, 0) for the x-intercept and (0, -3) for the y-intercept.