Question

Convert the following equations from standard form to slope intercept form 4x+1y=-1

Answer 1

y = -4x - 1

Explanation:

Quick note:

• When we have 1 in front a variable, we can make the 1 invisible.

• This means that we can rewrite 4x + 1y = -1 as 4x + y = -1.

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General equation of the standard form:

The general equation of the standard form is given by:

Ax + By = C, where:

• A, B, and C are constants.

General equation of the slope-intercept form:

The general equation of the slope-intercept form is given by:

y = mx + b, where:

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

Converting from standard form to slope-intercept form:

Thus, we can convert from standard form to slope-intercept form by isolating y in 4x + y = -1:

(4x + y = -1) - 4x

y = -4x - 1

Therefore, y = -4x - 1 is the equation of the line in slope-intercept form.

Answer 2

Answer: y = -4x - 1

Explanation:

The slope intercept form is y = mx + b, so you need to solve that equation for y.

4x + 1y = -1

First subtract 4x from both sides.

1y = -4x - 1

And now your equation is in the correct format.