Intercepts Exploration
Explore and identify x-intercepts and y-intercepts of linear equations and graphs.
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Intercepts Exploration
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Read each question carefully and provide your answers in the space provided. For graphing questions, plot the points and draw the line accurately.
1. The x-intercept is the point where the graph crosses the .
2. At the y-intercept, the value of the coordinate is zero.
3. To find the x-intercept of an equation, you set to zero and solve for x.
4. The coordinates of the y-intercept are always in the form (0, ).
For the graph shown below, identify the x-intercept and y-intercept.
x-intercept:
y-intercept:
5. Which of the following points represents an x-intercept?
(2, 3)
(0, 5)
(-4, 0)
(1, 1)
6. For the equation y = 2x + 6, what is the y-intercept?
(3, 0)
(0, -3)
(0, 6)
(-6, 0)
7. Find the x-intercept and y-intercept for the equation: 3x - 4y = 12
Show your work:
x-intercept:
y-intercept:
8. Determine the x-intercept and y-intercept for the equation: y = -2x + 8
Show your work:
x-intercept:
y-intercept:
9. Graph the line using the x-intercept and y-intercept for the equation: 2x + y = 4
First, find the intercepts:
x-intercept:
y-intercept: