writing linear equations from standard form to slope-intercept form

Question

x+y=8

Answer 1

To convert the equation from standard form $Ax+By=C$ to slope-intercept form $y=mx+b$, you'll want to solve for $y$.

Starting with your equation:

$$x+y=8$$

Subtract $x$ from both sides to isolate $y$:

$$y=-x+8$$

Now the equation is in slope-intercept form, where the slope $m$ is $-1$ and the y-intercept $b$ is $8$.

So, the slope-intercept form of the equation is:

$$y=-x+8$$

Answer 2

x+y=5