To convert the given equation of a line [tex]\( x = \frac{y-9}{-9} \)[/tex] into slope-intercept form, follow these steps:
1. Start with the given equation:
[tex]\[
x = \frac{y - 9}{-9}
\][/tex]
2. Clear the fraction by multiplying both sides of the equation by -9 to isolate [tex]\( y \)[/tex]:
[tex]\[
-9x = y - 9
\][/tex]
3. Solve for [tex]\( y \)[/tex] by adding 9 to both sides of the equation:
[tex]\[
y = -9x + 9
\][/tex]
4. Write the equation in slope-intercept form [tex]\( y = mx + b \)[/tex]:
The resulting equation is:
[tex]\[
y = -9x + 9
\][/tex]
where the slope [tex]\( m \)[/tex] is -9 and the y-intercept [tex]\( b \)[/tex] is 9.
So, the equation in slope-intercept form is:
[tex]\[
y = -9x + 9
\][/tex]
