Final answer:
To find the intercepts of the equation 6x + 5y = 30, set x or y to 0 and solve for the other variable. The x-intercept is (5, 0) and the y-intercept is (0, 6).
Step-by-step explanation:
To find the intercepts of the equation 6x + 5y = 30, we can set either x or y to 0 and solve for the other variable.
For the x-intercept, we set y = 0:
6x + 5(0) = 30
6x = 30
x = 5
So, the x-intercept is (5, 0).
For the y-intercept, we set x = 0:
6(0) + 5y = 30
5y = 30
y = 6
So, the y-intercept is (0, 6).