| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
The endpoints of this line segment are at (-2, -10) and (2, 2). What is the slope-intercept equation for this line?
| y = 3x - 4 | |
| y = 1\(\frac{1}{2}\)x - 4 | |
| y = \(\frac{1}{2}\)x + 0 | |
| y = -2\(\frac{1}{2}\)x + 0 |
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 -4. 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, -10) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-10.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x - 4
If a = 6, b = 4, c = 4, and d = 8, what is the perimeter of this quadrilateral?
| 13 | |
| 12 | |
| 22 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 4 + 4 + 8
p = 22
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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right, obtuse, acute |
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right, acute, obtuse |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
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equal angle |
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equal length |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
What is 5a - 9a?
| 14 | |
| a2 | |
| -4a2 | |
| -4a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a - 9a = -4a