Week 13 – Math 10

This week in Math 10 I learned how to get the X and Y intercepts from a General Form equation.

General Form is pretty useless. It doesn’t tell you much about anything; however, it is good for finding X and Y intercepts.

Example: 3x – 5y + 60 = 0

To find the X intercept, first we must cancel out the Y, giving us 3x + 60 = 0.

Then we need to cancel out the 60; we do this by subtracting 60, which we need to do to both sides of the equation.

3x +60 = 0

-60  -60

3x = -60

Then we need to isolate X. To do this, we divide 3x and -60 by 3.

\frac{3x}{3} = \frac{-60}{3}

x = -20

 

To get the Y-intercept, simply do the same thing, but instead of canceling out the Y, cancel out the X. Cancel out the integers and do so to both sides, the same thing; Then, divide both sides by the Y value instead of X.

It will look like this:

3x – 5y + 60 = 0

-3x

-5y + 60 = 0

-60    -60

-5y = -60

\frac{-5y}{-5} = \frac{-60}{-5}

Y = 12

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