Question

Line L1 has the equation x - 10y = 10.

Express the equation of L1 in slope-intercept form.​

Answer 1

`y = (1)/(10)x - 1`

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

_______________

`y = (1)/(10)x - 1`