The general form for a line is

where and are integers.

Using either the slope intercept form () or the general form () we can calculate all the critical values of a straight line. These are: the intercept, the intercept and the slope.

**Example 1:** convert to form:

**Example 2:** convert to general form:

# Finding the y intercept

The y intercept is the point where the line cuts the y-axis. The x coordinate is zero. To find the y intercept, we substitute for .

**Example 3**: Find the y intercept of the line

# Finding the x intercept

The x intercept is the point that is on the line and on the x axis. The y coordinate is zero. To find the x intercept, we substitute for .

**Example 4**: Find the x intercept of the line

# Calculations

Example: Video (3:31 mins)

Examples x y intercepts slope general form

Calculate the x and y intercepts and the slope. Rewrite the equation in the alternate form. Use fractions or terminating decimals, don’t round decimals.