1. 4.3
Objective: Graph linear equations
using intercepts

2. X and Y Intercepts
• The points on the x
and y axes where the
line crosses them.
• The graph on the
right has an x-
intercept of –3 and a
y-intercept of 5.
y-intercept: 5
x-intercept: -3
y
x

3. Finding the x and y intercepts.
• If you can find the x
and y intercepts you
can graph the line that
passes through them.
• Here’s how:
y-intercept: 5
x-intercept: -3
y
x

4. Finding the x and y intercepts.
• Begin with an equation:
• 2x+7y=14
• Substitute 0 for y and solve for x
• 2x+7(0) =14
• 2x=14
• 2x/2=14/2
• x=7
• Substitute 0 for x and solve for y
• 2(0)+7y=14
• 7y=14
• 7y/7=14/7
• y=2
y
x

5. Practice:
• Graph the following
equations by finding
the x and y
intercepts:
• 3x+2y=6
y
x

6. Practice:
• Graph the following
equations by finding
the x and y
intercepts:
• 4x-2y=10
y
x

7. Practice:
• Graph the following
equations by finding
the x and y
intercepts:
• -3x+5y=-15
y
x

8. Practice:
• Identify the intercepts:
x
y

9. Practice:
• Identify the intercepts:
x
y

10. Practice:
• Identify the intercepts:
x
y