Final answer:
To find the x-intercept of the function 3x+5y=-15, set y=0 and solve for x, which gives x = -5. To find the y-intercept, set x=0 and solve for y, which gives y = -3. The x-intercept is (-5, 0), and the y-intercept is (0, -3).
Step-by-step explanation:
To find the x-intercept and the y-intercept of the function 3x+5y=-15, we need to find the points where the line crosses the x-axis and y-axis respectively. The x-intercept occurs where y=0, and the y-intercept occurs where x=0.
For the x-intercept, set y=0 in the equation and solve for x:
- 3x + 5(0) = -15
- 3x = -15
- x = -15 / 3
- x = -5
The x-intercept is at the point (-5, 0).
For the y-intercept, set x=0 in the equation and solve for y:
- 3(0) + 5y = -15
- 5y = -15
- y = -15 / 5
- y = -3
The y-intercept is at the point (0, -3).