Udothemath printable: 10 FMP Unit 6 Skill 5

# The general form (Skill 5)

The general form for a line is

where and are integers. One may rearrange this form to the more familiar slope, y intercept form .

**Example 1:** convert to form:

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

On this applet, find the general form for each line and type it in the box. If correct, the green line will match the blue line. Any correct equivalent expression will work.

**Applet 1**

# Finding the y intercept

The y intercept is the point that is on the line and on 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

Solution:

Leads us to

Solving we have and therefore,

# 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

Solution:

Leads us to

Solving we have and therefore,

# Calculations (Skill #5)

Use the applet to practise converting to the form , and calculating the and intercepts.

**Applet 2**