Answer:
[tex]y = \frac{1}{10}x - 1[/tex]
Step-by-step explanation:
Pre-Solving
We are given the equation x - 10y = 10.
We want to write it in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.
Solving
Notice how in slope-intercept form, only y is on one side.
This is because the equation is basically solved for y in slope-intercept form.
So, we should solve the equation for y.
Start by subtracting x from both sides.
x - 10y = 10
-x -x
_______________
-10y = -x + 10
Now, divide both sides by -10 to isolate y.
-10y = -x + 10
÷10 ÷10
_______________
[tex]y = \frac{1}{10}x - 1[/tex]
