Question

Identify the x and y intercepts from the give equation: 5x – 2y = 10

Answer 1

Answer:

x-intercept : (2, 0)

y-intercept : (0, -5)

Step-by-step explanation:

The x-intercept is where y = 0, and the y-intercept is where x = 0. To find the intercepts, substitute a zero in for the other variable, and solve.

So the x-intercept of 5x – 2y = 10 is

5x – 2y = 10 → 5x – 2(0) = 10 → 5x = 10 →

x = 2 → (2, 0).

So the y-intercept of 5x – 2y = 10 is

5x – 2y = 10 → 5(0) – 2y = 10 → -2y = 10 →

y = -5 → (0, -5).