Question

Write the equation in slope-intercept form: 14x - 6y = -12.

a) y = 2x - 6
b) y = -2x - 6
c) y = 2x + 6
d) y = -2x + 6

Answer 1

To write the equation in slope-intercept form, isolate the y variable. The equation in slope-intercept form is y = (2/3)x + 2.

Step-by-step explanation:

To write the equation in slope-intercept form, we need to isolate the y variable on one side of the equation. Here's how:

1. Start with the equation 14x - 6y = -12.

2. Subtract 14x from both sides to move it to the other side of the equation: -6y = -12 - 14x.

3. Divide every term by -6 to solve for y: y = (2/3)x + 2.

Therefore, the equation in slope-intercept form is y = (2/3)x + 2. So, the correct answer is a) y = 2x - 6.