Question

Find the x-intercept and the y-intercept of the following equation: 10x + 8y = -40

a) X-intercept: -4, Y-intercept: -5
b) X-intercept: 4, Y-intercept: -5
c) X-intercept: -4, Y-intercept: 5
d) X-intercept: 4, Y-intercept: 5

Answer 1

The x-intercept of the equation 10x + 8y = -40 is -4, and the y-intercept is -5, which corresponds to option (a).

Step-by-step explanation:

To find the x-intercept and the y-intercept of the equation 10x + 8y = -40, we need to set each variable to zero in turn and solve for the other variable. The x-intercept occurs when y=0, and the y-intercept occurs when x=0.

For the x-intercept:

• Set y = 0 in the equation: 10x + 8(0) = -40.
• 10x = -40.
• Divide both sides by 10: x = -40 / 10.
• x = -4, so the x-intercept is -4.

For the y-intercept:

• Set x = 0 in the equation: 10(0) + 8y = -40.
• 8y = -40.
• Divide both sides by 8: y = -40 / 8.
• y = -5, so the y-intercept is -5.

Therefore, the correct answer is:

1. X-intercept: -4
2. Y-intercept: -5

And this corresponds with option (a).