# Linear Functions: ax+by+c=0

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: # 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 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)

Example: Video

Examples pdf: Standard Form x y int

Calculate the x and y intercepts. Rewrite the equation in the form . Use an integer, a terminating decimal or a fraction for the coefficient of x (that is, don’t round a decimal).