Match the following graph to each equation. All graphs will have a y-intercept of (0,0):y=2/3x+0

Which Graph Shows The Correct Slope?

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| By Mandalmoore88

Mandalmoore88

Community Contributor

Quizzes Created: 1 | Total Attempts: 341

Questions: 5 | Attempts: 343 | Updated: Mar 16, 2023

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Questions and Answers

1.

Match the following graph to each equation. All graphs will have a y-intercept of (0,0):y=2/3x+0
- A.
  
  Option 1
- B.
  
  Option 2
- C.
  
  Option 3
Correct Answer
B. Option 2

Explanation
Option 2 is the correct answer because it represents a linear equation with a y-intercept of (0,0), which matches the given equation y=2/3x+0. The graph in option 2 shows a straight line that passes through the origin (0,0) and has a slope of 2/3, which is consistent with the equation.

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2.

Match the following graph to each equation. All graphs will have a y-intercept of (0,0):y=1x+0
- A.
- B.
  
  Option 1
- C.
Correct Answer
A.

Explanation
The graph for option 1 matches the equation y=1x+0 because it represents a straight line passing through the origin (0,0) with a slope of 1. This means that for every increase of 1 in the x-coordinate, the y-coordinate also increases by 1. The graph starts at the origin and extends infinitely in both positive x and y directions.

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3.

Match the following graph to each equation. All graphs will have a y-intercept of (0,0):y=-2x+0
- A.
- B.
- C.
Correct Answer
B.

Explanation
The graph of the equation y = -2x + 0 will be a straight line passing through the origin (0,0) with a slope of -2. As x increases by 1, y will decrease by 2. Therefore, the correct graph will have a downward slope and will pass through the point (0,0).

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4.

Match the following graph to each equation. All graphs will have a y-intercept of (0,0):y=3x+0
- A.
- B.
- C.
Correct Answer
A.

Explanation
The equation y=3x+0 represents a linear equation in slope-intercept form, where the coefficient of x is 3 and the y-intercept is 0. This means that the graph of this equation will be a straight line passing through the origin (0,0) with a slope of 3. Therefore, the correct graph will be a straight line that starts at the origin and has a steep slope of 3.

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5.

Match the following graph to each equation. All graphs will have a y-intercept of (0,0):y=-5x+0
- A.
- B.
- C.
Correct Answer
A.

Explanation
The equation y=-5x+0 represents a linear function with a negative slope of -5. Since the y-intercept is (0,0), this means that the graph will pass through the origin. As x increases, y will decrease by 5 times the value of x. Therefore, the graph will start at the origin and slope downwards to the right.

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Current Version
Mar 16, 2023

Quiz Edited by
ProProfs Editorial Team
Apr 19, 2015

Quiz Created by
Mandalmoore88

Which Graph Shows The Correct Slope?

Match the following graph to each equation. All graphs will have a y-intercept of (0,0):y=2/3x+0

Match the following graph to each equation. All graphs will have a y-intercept of (0,0):y=1x+0

Match the following graph to each equation. All graphs will have a y-intercept of (0,0):y=-2x+0

Match the following graph to each equation. All graphs will have a y-intercept of (0,0):y=3x+0

Match the following graph to each equation. All graphs will have a y-intercept of (0,0):y=-5x+0