1. Graphing Lines Using Intercepts
Prepared by: Mr. Jay Mar Bolajo

2. x - intercept
It is the x coordinate of a point where a graph crosses the x- axis.
It is the value of x when y=0.
y – intercept
It is the y coordinate of a point where a graph crosses the y-axis.
It is the value of y when x = 0.

3. Example 1: Find an x-intercept.
Find the x – intercept of the graph of the equation 2x+3y=6
Solution:
To find an x-intercep, substitute 0 for y and solve for x.
2x + 3y = Write the original equation
2x + 3(0) = Substitute o for y
2x = 6
x = 3
The x intercept is 3. The line crosses the x axis at (3,0)

4. Example 2: Find a y-intercept
Find the y-intercept of the graph of the equation 2x + 3y = 6
Solution:
To find a y-intercept, substitute 0 for x and solve for y.
2x + 3y = 6 Write the original equation
2(0) + 3y = 6 Substitute 0 for x
3y = 6
Solve for x
y = 2
The y-intercept is 2. The line crosses the y-axis at (0,2)

5. Try this.
Find the x and y intercepts.
3x – 4y = 12

6. Step 1: Find the intercepts
Making a quick graph
Step 1: Find the intercepts
Step 2: Draw a coordinate plane that includes the intercepts
Step 3: Plot the intercepts and draw a line through them