Graph the intercept and then use them to graph the equation 4y -12 = 4x. Thanks!
To graph the equation 4y - 12 = 4x, we first need to find the intercepts.
1. x-intercept: To find the x-intercept, we set y = 0 and solve for x.
Substitute y = 0 into the equation: 4(0) - 12 = 4x
Simplify: -12 = 4x
Divide both sides by 4 to solve for x: x = -3
Therefore, the x-intercept is -3.
2. y-intercept: To find the y-intercept, we set x = 0 and solve for y.
Substitute x = 0 into the equation: 4y - 12 = 4(0)
Simplify: 4y - 12 = 0
Add 12 to both sides to solve for y: 4y = 12
Divide both sides by 4 to solve for y: y = 3
Therefore, the y-intercept is 3.
Now that we have the intercepts, we can graph the equation.
- Plot the x-intercept (-3) on the x-axis.
- Plot the y-intercept (3) on the y-axis.
- Draw a straight line passing through these two points.
The resulting line represents the graph of the equation 4y - 12 = 4x.