find the x and y intercepts of this linear equation. -3x - 5y = 30 x-intercept: (?, ) y-intercept: (, )

Explanation:

Step1: Find the x - intercept

Set (y = 0) in the equation (-3x-5y = 30). Substitute (y = 0) into (-3x-5y=30), we get (-3x-5\times0 = 30), which simplifies to (-3x=30). Solve for (x): (x=\frac{30}{-3}=- 10).

Step2: Find the y - intercept

Set (x = 0) in the equation (-3x - 5y=30). Substitute (x = 0) into (-3x-5y = 30), we get (-3\times0-5y=30), which simplifies to (-5y=30). Solve for (y): (y=\frac{30}{-5}=-6).

Answer:

(x-)intercept: ((-10,0)) (y-)intercept: ((0, - 6))