what is the standard form of this

Question

Slope-Intercept Form: y=−3x−5

Answer 1

Just add 3x to both sides. Standard form requires the x and y terms to be on the same side of the equation.

Answer 2

To convert the slope-intercept form equation y = -3x - 5 into standard form, we want to rearrange the equation so that it is in the form Ax + By = C, where A, B, and C are constants.

Given the slope-intercept form equation y = -3x - 5, we can start by moving the -3x term to the left side of the equation:

3x + y = -5

Now, the equation is in the form Ax + By = C. However, to adhere to the standard form convention, we typically want the coefficient of x to be positive. To achieve this, we can multiply the entire equation by -1:

Therefore, the standard form of the given equation y = -3x - 5 is -3x - y = 5.