Question

Use intercepts to graph the linear equation 5x + 3y = 30. What are the x and y intercepts?

A) x-intercept: 6, y-intercept: 10
B) x-intercept: 10, y-intercept: 6
C) x-intercept: 2, y-intercept: 10
D) x-intercept: 10, y-intercept: 2

Answer 1

The x-intercept of the equation 5x + 3y = 30 is 6, and the y-intercept is 10. Therefore, the line intercepts the axes at these points, and the correct answer is B) x-intercept: 6, y-intercept: 10.

Step-by-step explanation:

To graph the linear equation 5x + 3y = 30 using intercepts, we need to find the points where the graph intersects the x-axis and y-axis. The x-intercept is found by setting y to 0 and solving for x, and the y-intercept is found by setting x to 0 and solving for y.

For the x-intercept:
0 + 3y = 30
y = 30 / 3
y = 10
The y-intercept is 10.

For the y-intercept:
5x + 0 = 30
x = 30 / 5
x = 6
The x-intercept is 6.

Therefore, the correct answer is B) x-intercept: 6, y-intercept: 10.