Final answer:
To find the intercepts of the linear equation 5x - 5y = -10, set either x or y to zero and solve for the other variable. The x-intercept is (-2, 0) and the y-intercept is (0, 2).
Step-by-step explanation:
To find the intercepts of a linear equation, you can set either x or y to zero and solve for the other variable. In this case, the linear equation is 5x - 5y = -10. To find the x-intercept, set y = 0 and solve for x: 5x - 5(0) = -10. Simplifying the equation gives 5x = -10, and dividing both sides by 5 gives x = -2. Thus, the x-intercept is (-2, 0). To find the y-intercept, set x = 0 and solve for y: 5(0) - 5y = -10. Simplifying the equation gives -5y = -10, and dividing both sides by -5 gives y = 2. Thus, the y-intercept is (0, 2).