Question

Put the following equation of a line into slope-intercept form, simplifying all fractions.

2x+4y=-20

Answer 1

Answer: y = -5 - 1/2 x

Explanation:

Slope intercept form: y=mx+b

2x+4y=-20

Isolate the y.

4y=-20-2x

Divide by 4.

y=-20/4-2x/4

y = -5 - 1/2 x

Answer 2

To put the equation 2x + 4y = -20 into slope-intercept form, we need to rearrange the terms in the equation so that the y-term is on the left-hand side and the constant term is on the right-hand side. We can do this by subtracting 2x from both sides of the equation:

4y = -20 - 2x

Then, we can divide both sides of the equation by 4 to find the slope:

y = -5 - (1/2)x

This is the slope-intercept form of the equation, where the slope is -5/2 and the y-intercept is -5. The slope-intercept form of the equation is:

y = -5/2x - 5

Simplifying the fraction gives us the final form of the equation:

y = -5/2x - 5
= -2.5x - 5