Final answer:
To graph the equation 5x + 6y = 30, find the x-intercept and y-intercept, and plot them on a graph.
Step-by-step explanation:
To graph the linear equation 5x + 6y = 30, we need to find the x-intercept and the y-intercept.
Step 1: Find the x-intercept. Let y = 0 and solve for x:
5x + 6(0) = 30
5x = 30
x = 6
So the x-intercept is (6, 0).
Step 2: Find the y-intercept. Let x = 0 and solve for y:
5(0) + 6y = 30
6y = 30
y = 5
So the y-intercept is (0, 5).
Now we can graph the equation by plotting the x-intercept and the y-intercept, and drawing a line connecting them.
Learn more about Graphing linear equations in standard form