Question

Put the following equation of a line into slope-intercept form, simplifying allfractions.3x + y = 1

Answer 1

Slope - intercept form follows the following format:

`y=mx+b`

From the equation being asked, 3x + y = 1. What we are going to do to make it slope-intercept form, we have to get rid of 3x on the left side and move it to the right side. To do that, we must subtract 3x on the left side as well as on the left side so that the equation remains balanced. Let me show it to you.

`\begin{gathered} 3x+y=1 \\ 3x+y-3x=1-3x \\ 3x-3x+y=-3x+1 \\ 0+y=-3x+1 \\ y=-3x+1 \end{gathered}`

Therefore, the slope-intercept form of the equation 3x + y = 1 is y = -3x + 1.