| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.82 |
| Score | 0% | 56% |
The endpoints of this line segment are at (-2, -1) and (2, 7). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 4 | |
| y = 3x - 1 | |
| y = -\(\frac{1}{2}\)x + 0 | |
| y = 2x + 3 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 3. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -1) and (2, 7) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)Plugging these values into the slope-intercept equation:
y = 2x + 3
Factor y2 + 5y - 14
| (y + 2)(y + 7) | |
| (y + 2)(y - 7) | |
| (y - 2)(y - 7) | |
| (y - 2)(y + 7) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -14 as well and sum (Inside, Outside) to equal 5. For this problem, those two numbers are -2 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 5y - 14
y2 + (-2 + 7)y + (-2 x 7)
(y - 2)(y + 7)
The endpoints of this line segment are at (-2, -8) and (2, 4). What is the slope of this line?
| 2 | |
| -\(\frac{1}{2}\) | |
| -2\(\frac{1}{2}\) | |
| 3 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -8) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)On this circle, line segment CD is the:
chord |
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diameter |
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circumference |
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radius |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
A coordinate grid is composed of which of the following?
origin |
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all of these |
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y-axis |
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x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.