Question

writing linear equations from standard form to slope-intercept form
x+y=8

Answer 1

x+y=5

Answer 2

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:

\[
y = -x + 8
\]