Question

Write the slope-intercept form of the equation of each line.4) -10 + 3x = -5y

Answer 1

We are given the following equation:

`-10+3x=-5y`

We are asked to rewrite this equation in slope-intercept mode. To do that, let's remember that the general form of the slope-intercept mode is the following:

`y=mx+b`

Where "m" is the slope and "y" the intercept. This means that we have to solve for "y" in our equation. Let's beging by changing the order of the equation, like this:

`-5y=-10+3x`

Now we will divide by -5 on both sides of the equation

`-(5y)/(-5)=-(10)/(-5)+(3)/(-5)x`

Simplifying we get:

`y=2-(3)/(5)x`

and in that way, we get the slope-intercept form of the given equation.