Question

2x + y = −3 −2y = 6 + 4x Write each equation in slope-intercept form. y = x + y = x +

Answer 1

• y = -2x -3
• y = -2x -3

Explanation:

You want these equations written in slope-intercept form:

• 2x +y = -3
• -2y = 6 +4x

Slope-intercept form

The slope-intercept form of the equation for a line is ...

y = mx + b

where m is the slope, and b is the y-intercept.

The equation can be put into this form by solving it for y.

2x +y = -3

Subtract 2x to get y by itself on the left:

y = -2x -3

-2y = 6 +4x

Divide by the coefficient of y to get y by itself on the left:

y = -3 -2x

Swapping the order of terms on the right will put the equation in the desired form:

y = -2x -3

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