use the intercept to graph the equations
3x-9=3y
along the y axis, x = 0
so to find the y axis intercept, set x = 0
0 -9 = 3y
so
y = -3 when x = 0, make a mark at (0,-3)
along the x axis, y = 0
so to find the x axis intercept, set y = 0
3x - 9 = 0
so
x = 3 when y = 0, make a mark at (3,0)
draw a straight line through those two marks of infinite length in both directions.
To graph the equation 3x - 9 = 3y using the intercept method, we need to find the intercepts first.
1. Find the x-intercept: Set y = 0 in the equation and solve for x.
3x - 9 = 3(0)
3x - 9 = 0
3x = 9
x = 3
Therefore, the x-intercept is (3, 0).
2. Find the y-intercept: Set x = 0 in the equation and solve for y.
3(0) - 9 = 3y
-9 = 3y
y = -3
Therefore, the y-intercept is (0, -3).
Now that we have the x-intercept and y-intercept, we can plot these points on the graph and draw a line passing through them to represent the equation.
- Plot the x-intercept: Mark the point (3, 0) on the x-axis.
- Plot the y-intercept: Mark the point (0, -3) on the y-axis.
- Draw a line: Connect the two points with a straight line.
The resulting graph represents the equation 3x - 9 = 3y.