Question

Given 6x−2y=30, find: hint: (give x/y intercepts as coordinate points) A=B=C=x-int=y-int="

A. x-int = 5, y-int = 0
B. x-int = 0, y-int = 15
C. x-int = 10, y-int = 0
D. x-int = 0, y-int = -15

Answer 1

The correct answer is D. x-int = 0, y-int = -15, where 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 in the equation 6x − 2y = 30.

Step-by-step explanation:

To find the x-intercept and y-intercept of the equation 6x − 2y = 30, we will set one variable to zero at a time to solve for the other.

1. To find the x-intercept, set y to zero and solve for x:
   6x − 2(0) = 30
   6x = 30
   x = 30/6
   x = 5
   x-intercept: (5, 0)
2. To find the y-intercept, set x to zero and solve for y:
   6(0) − 2y = 30
   − 2y = 30
   y = 30/− 2
   y = − 15
   y-intercept: (0, − 15)

Therefore, the correct answer is D. x-int = 0, y-int = -15.