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Questions and Answers
What is the first step in graphing a linear equation?
What is the first step in graphing a linear equation?
To graph a linear equation, you only need to plot one point.
To graph a linear equation, you only need to plot one point.
False
What is the equation of the line in Activity 2 that needs to be graphed?
What is the equation of the line in Activity 2 that needs to be graphed?
2x + 5y = -10 or 4x - 6y = 12
To extend the line downwards from (0,2), move ___ units below and ___ unit to the right.
To extend the line downwards from (0,2), move ___ units below and ___ unit to the right.
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Match the following terms related to graphing linear equations with their definitions:
Match the following terms related to graphing linear equations with their definitions:
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Study Notes
Graphing Linear Equations
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Given two points:
- Choose two x-values (often 0 and 1).
- Substitute the x-values into the equation to find the corresponding y-values.
- Plot the two points and draw a straight line through them.
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Given x and y intercepts:
- To find the x-intercept, set y = 0 and solve for x.
- To find the y-intercept, set x = 0 and solve for y.
- Plot the x and y intercepts.
- Draw a line through the two points.
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Given a slope and a point:
- Ensure the equation is in the form y = mx + b (slope-intercept form).
- Identify the slope (m) and y-intercept (b).
- Plot the y-intercept (0,b).
- Use the slope (rise/run) to find a second point.
- Draw a line through the two points.
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Slope Formula: slope (m) = rise/run
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Important Note: Always use a straight edge to draw the line.
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Description
This quiz covers methods for graphing linear equations using two points, intercepts, and slope. Understand how to derive points and plot them accurately on a graph. Test your knowledge of slope-intercept form and the slope formula as you familiarize yourself with graphing techniques.
