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Identify the x-intercept and y-intercept of the function: 3x+5y=-15

User Ritchie
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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).

User Mmdanziger
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