Math 8 ( Period 1)

Chapter 3-5 Graphing Using Intercepts

Another way to graph a line is to find the two intercepts where the line crosses the x-axis and the y-axis and connect them.

If you have an equation, you can find both by setting the opposite variable to 0

To find the x intercept set y = 0 and you will find a coordinate in the form of ( #, 0)

This will be on the x axis because y is 0

To find the y intercept, Set x = 0 and you will find a coordinate in the form of ( 0, #)

This will be on the y axis because x is 0.

You know that Slope- Intecept isolates the y on one side of the equation

Another form of a linear equation is Standard Form

Ax + By= C

A, B< and C are integers—meaning there are NO DECIMALS or FRACTIONS in the equation.

The x and y terms are on the same side and the other side is a CONSTANT

The x term is always positive so A ≥ 0

You can restate Slope Intercept to Standard Form by using equation balancing.

Restate y = 2/3(x) – 10 to Standard Form

Clear the fractions by multiplying each term by 3

3y = 2x – 30

move 2x to the other side—so we need to subtract 2x from both sides

3y – 2x = -10 
or
-2x +3y = -10

Multiply each term by -1 so that the x term is POSITIVE

2x – 3y = 10