Question

Determine the intercepts of the line. y + 5 = 2(x + 1).

A. y-intercept: (0, 7); x-intercept: (-3, 0)
B. y-intercept: (0, 5); x-intercept: (-1, 0)
C. y-intercept: (-5, 0); x-intercept: (1, 0)
D. y-intercept: (0, 5); x-intercept: (3, 0)

Answer 1

Substituting y=0 into the equation, we get 0 + 5 = 2(x + 1), which simplifies to 5 = 2(x + 1). Solving for x, we have x + 1 = 5/2, x = 5/2 - 1, x = 3/2 .The y-intercept is (0, -3) and the x-intercept is (3/2, 0).

Step-by-step explanation:

The equation given is y + 5 = 2(x + 1).

To find the y-intercept, we set x = 0 and solve for y.

Substituting x=0 into the equation, we get y + 5 = 2(0 + 1), which simplifies to y + 5 = 2.

Solving for y, we have y = -3.

Therefore, the y-intercept is (0, -3).

To find the x-intercept, we set y = 0 and solve for x.

Substituting y=0 into the equation, we get 0 + 5 = 2(x + 1), which simplifies to 5 = 2(x + 1). Solving for x, we have x + 1 = 5/2, x = 5/2 - 1, x = 3/2.

Therefore, the x-intercept is (3/2, 0).