| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
The endpoints of this line segment are at (-2, 0) and (2, -6). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| -2 | |
| 3 | |
| 2 |
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, 0) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Which of the following is not required to define the slope-intercept equation for a line?
slope |
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\({\Delta y \over \Delta x}\) |
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y-intercept |
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x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Solve for b:
8b - 1 > \( \frac{b}{-3} \)
| b > \(\frac{8}{33}\) | |
| b > 1\(\frac{7}{17}\) | |
| b > \(\frac{3}{25}\) | |
| b > -\(\frac{8}{21}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
8b - 1 > \( \frac{b}{-3} \)
-3 x (8b - 1) > b
(-3 x 8b) + (-3 x -1) > b
-24b + 3 > b
-24b + 3 - b > 0
-24b - b > -3
-25b > -3
b > \( \frac{-3}{-25} \)
b > \(\frac{3}{25}\)
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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right angle |
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parallel |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
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division |
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addition |
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exponents |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)