Question

What is 3y + 5x = -15 written in slope-intercept form?

A) Y = 5/3x + 5
B) Y = -5/3x - 5
C) Y = 5/3x - 5
D) Y = -5/3x + 5

Answer 1

The equation 3y + 5x = -15 can be written in slope-intercept form as Y = -5/3x - 5, by isolating y and dividing all terms by the coefficient of y.

Step-by-step explanation:

To write the equation 3y + 5x = -15 in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, follow these steps:

1. Begin by isolating y on one side of the equation. Subtract 5x from both sides to get 3y = -5x - 15.
2. Next, divide every term by the coefficient of y, which is 3, to solve for y. This gives us y = (-5/3)x - 5.

Therefore, the equation in slope-intercept form is Y = -5/3x - 5, which corresponds to option B.