convert and write the equation in slope intercept form. 8x+y=4

1 answer

To convert the equation \(8x + y = 4\) into slope-intercept form, which is \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y-intercept), we need to isolate \(y\).

Starting with the original equation:

\[ 8x + y = 4 \]

Subtract \(8x\) from both sides:

\[ y = -8x + 4 \]

Now, the equation is in slope-intercept form. The slope \(m\) is \(-8\) and the y-intercept \(b\) is \(4\).

So, the equation in slope-intercept form is:

\[ y = -8x + 4 \]