Question

Put the equation 3x - 6y = -30 into slope-intercept form, simplifying all fractions.

Answer 1

The equation 3x - 6y = -30 in slope-intercept form is y = (1/2)x - 5, where the slope (m) is 1/2, and the y-intercept (b) is -5.

Step-by-step explanation:

To convert the equation 3x - 6y = -30 into slope-intercept form, which is y = mx + b where m is the slope and b is the y-intercept, follow these steps:

1. Move the term containing x to the right side of the equation by adding 6y to both sides:
2. 3x = 6y - 30
3. Divide the entire equation by 6 to solve for y:
4. y = (3x)/6 - 30/6
5. Simplify the fractions:
6. y = (1/2)x - 5

The slope-intercept form of the given equation is y = (1/2)x - 5, with a slope of 1/2 and a y-intercept of -5.