Question

Rewrite the equation 6x-2y-4=0 in slope-intercept form.

Answer 1

To rewrite the equation in slope-intercept form, isolate y to get y = -3x + 2, which reveals a slope of -3 and a y-intercept of 2.

Step-by-step explanation:

To rewrite the equation 6x-2y-4=0 in slope-intercept form, we need to isolate y on one side of the equation. Here are the steps:

1. Start with the original equation: 6x - 2y - 4 = 0.
2. Add 4 to both sides of the equation: 6x - 2y = 4.
3. Divide every term by -2, the coefficient of y, to solve for y: y = -3x + 2.

Now, the equation is in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the slope (m) is -3, and the y-intercept (b) is 2.