5-3 Slope-Intercept Form Quiz

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| By Courtney Frank

Courtney Frank

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Quizzes Created: 45 | Total Attempts: 16,228

| Attempts: 250

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1/5 Questions

What is the slope intercept form of the equation of the line with slope and y-intercept at the origin?

5-3 Slope-intercept Form Quiz - Quiz

About This Quiz

This quiz assesses understanding of the slope-intercept form of linear equations. It includes problems on writing equations from points, identifying equations from graphs, and determining equations with given slopes and intercepts. Essential for students enhancing their algebra skills.

2.

Write the equation of a line that passes through the points (3, 7) and (5, 11).
- Y = x + 2
- Y = 2x + 1
- Y = 2x + 11
Correct Answer

A. Y = 2x + 1

Explanation

The equation of a line can be determined using the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (3, 7) and (5, 11). The slope is (11 - 7) / (5 - 3) = 4 / 2 = 2. Plugging in the slope and one of the points into the slope-intercept form, we get y = 2x + 1. Therefore, the correct answer is y = 2x + 1.

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3.

What is the equation of the line shown below?
- Y = 2x - 2
Correct Answer

A.

Explanation

The equation of the line shown below is y = 2x - 2. This equation is in slope-intercept form, where the coefficient of x represents the slope of the line and the constant term represents the y-intercept. In this case, the slope is 2, indicating that for every increase of 1 in x, the y-coordinate increases by 2. The y-intercept is -2, meaning that the line intersects the y-axis at the point (0, -2).

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4.

Which equation represents the line shown?
- Y = 5x
- Y = -5x
Correct Answer

A. Y = -5x

Explanation

The equation y = -5x represents the line shown because it has a negative slope (-5) and passes through the origin (0,0). This means that as x increases, y decreases at a constant rate. The line is a straight line that slopes downwards from left to right.

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5.

What is the slope intercept form of the equation of the line that passes through the point (4, -1) and has an x-intercept of 6?
Correct Answer

A.

Explanation

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept. To find the slope, we can use the formula: m = (y2 - y1) / (x2 - x1). Plugging in the coordinates (4, -1) and (6, 0) for (x1, y1) and (x2, y2) respectively, we get m = (-1 - 0) / (4 - 6) = -1 / -2 = 1/2. Since the line passes through the point (4, -1), we can substitute these values into the equation to find b: -1 = (1/2)(4) + b. Solving for b, we get b = -3. Therefore, the slope-intercept form of the equation is y = (1/2)x - 3.

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