Graph with Intercepts Quiz
The question sheet
Reveal any answer as you study-
To find the x-intercept of a line, what value do you use?
- Let x = 1 and solve for y
- Let y = 0 and solve for x
- Let x = 0 and solve for y
- Let y = 1 and solve for x
Reveal answer
Answer: Let y = 0 and solve for x
Source evidence
PDF page 569: ◦ Use the equation of the line to find the x- intercept of the line, let y = 0 and solve for x.
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After plotting the three points, Step 3 says to check that they:
- Cross the origin
- Are all positive
- Form a triangle
- Line up
Reveal answer
Answer: Line up
Source evidence
PDF page 569: Step 1. Find the x- and y- intercepts of the line. Let y = 0 and solve for x. Let x = 0 and solve for y. Step 2. Find a third solution to the equation. Step 3. Plot the three points and then check that they line up. Step 4. Draw the line.
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What is the final step when graphing a line using intercepts?
- Draw the line
- Find the intercepts
- Plot the points
- Find a third solution
Reveal answer
Answer: Draw the line
Source evidence
PDF page 569: Step 1. Find the x- and y- intercepts of the line. Let y = 0 and solve for x. Let x = 0 and solve for y. Step 2. Find a third solution to the equation. Step 3. Plot the three points and then check that they line up. Step 4. Draw the line.
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The equation x = a describes what kind of line?
- A horizontal line
- A vertical line
- A curved line
- A diagonal line
Reveal answer
Answer: A vertical line
Source evidence
PDF page 569: x = a is a vertical line passing through the x- axis at a y = b is a horizontal line passing through the y- axis at b .
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The line x = a passes through the x-axis at what value?
- b
- 0
- 1
- a
Reveal answer
Answer: a
Source evidence
PDF page 569: x = a is a vertical line passing through the x- axis at a y = b is a horizontal line passing through the y- axis at b .
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If y is isolated on one side of the equation, you should graph by:
- Finding intercepts
- Plotting points
- Using the origin
- Drawing a vertical line
Reveal answer
Answer: Plotting points
Source evidence
PDF page 569: ◦ If y is isolated on one side of the equation, graph by plotting points.
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When graphing by plotting points, how many x-values should you choose?
- Any three
- Five
- Two
- One
Reveal answer
Answer: Any three
Source evidence
PDF page 569: ◦ Choose any three values for x and then solve for the corresponding y- values.
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For an equation of the form ax + by = c, the best method is to:
- Find the intercepts
- Draw a vertical line
- Plot random points
- Use the origin only
Reveal answer
Answer: Find the intercepts
Source evidence
PDF page 569: ◦ If the equation is of the form ax + by = c , find the intercepts. Find the x- and y- intercepts and then a
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The first step in choosing a method to graph a line is to:
- Consider the form of the equation
- Find the y-intercept
- Draw the line
- Plot three points
Reveal answer
Answer: Consider the form of the equation
Source evidence
PDF page 569: ◦ Consider the form of the equation.
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To graph the line 2x + 3y = 6, the most convenient method is to:
- Draw a horizontal line
- Find the intercepts
- Plot random curves
- Draw a vertical line
Reveal answer
Answer: Find the intercepts
Source evidence
PDF page 569: ◦ If the equation is of the form ax + by = c , find the intercepts. Find the x- and y- intercepts and then a
-
The line x = a is what kind of line?
- A vertical line
- A diagonal line
- A curved line
- A horizontal line
Reveal answer
Answer: A vertical line
Source evidence
PDF page 569: x = a is a vertical line passing through the x- axis at a y = b is a horizontal line passing through the y- axis at b .
-
To find the y-intercept of a line from its equation, what do you do?
- Let x = 1 and solve for y
- Let x = 0 and solve for y
- Let y = 1 and solve for x
- Let y = 0 and solve for x
Reveal answer
Answer: Let x = 0 and solve for y
Source evidence
PDF page 569: ◦ Use the equation of the line to find the y- intercept of the line, let x = 0 and solve for y.
Elementary Algebra 2e
Elementary Algebra 2e by OpenStax, used under CC BY 4.0. Changes made by Stratacademy.
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