Final answer:
To find the intercepts of the equation 5x + 4y = -40, set y = 0 and solve for x to find the x-intercept, and set x = 0 and solve for y to find the y-intercept.
Step-by-step explanation:
To find the intercepts of the equation 5x + 4y = -40, we need to set one variable to zero and solve for the other variable. The x-intercept occurs when y = 0, so we substitute y = 0 into the equation and solve for x. 5x + 4(0) = -40 simplifies to 5x = -40, which gives us x = -8. Therefore, the x-intercept is -8.
The y-intercept occurs when x = 0, so we substitute x = 0 into the equation and solve for y. 5(0) + 4y = -40 simplifies to 4y = -40, which gives us y = -10. Therefore, the y-intercept is -10.
Learn more about Intercepts of a Linear Equation