Question

Graph the linear equation

5x-6y=30 by following these steps:
Step 1: Find the x-intercept. Let y = 0 and solve for x.
X =
Check
-6 -4
-2
9
4
2
-2
7
-6
Y
N
4
6
x
x
y

Answer 1

To graph the linear equation 5x-6y=30, find the x-intercept by letting y = 0. The x-intercept is (6, 0).

Step-by-step explanation:

Graphing the linear equation 5x-6y=30

To find the x-intercept, we set y = 0 and solve for x. Substituting y = 0 into the equation, we get 5x - 6(0) = 30. Simplifying, we have 5x = 30, which can be further simplified to x = 6. Therefore, the x-intercept is 6.

To check the x-intercept, we substitute x = 6 into the equation: 5(6) - 6y = 30. Simplifying, we get 30 - 6y = 30, which simplifies to -6y = 0. Solving for y, we find that y = 0. Therefore, the x-intercept (6, 0) satisfies the original equation.

We can plot the x-intercept (6, 0) on a graph and label it accordingly. Since the x-intercept lies on the x-axis, the point will have y-coordinate 0. The graph of the linear equation 5x - 6y = 30 will pass through this point.

Learn more about Graphing Linear Equations