| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
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\({\Delta y \over \Delta x}\) |
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y-intercept |
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slope |
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.
A right angle measures:
90° |
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45° |
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180° |
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360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
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equal length |
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equal angle |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Which of the following expressions contains exactly two terms?
binomial |
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polynomial |
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monomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
The endpoints of this line segment are at (-2, 0) and (2, -6). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x - 4 | |
| y = -1\(\frac{1}{2}\)x - 3 | |
| y = -\(\frac{1}{2}\)x - 3 | |
| y = \(\frac{1}{2}\)x - 4 |
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, 0) and (2, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Plugging these values into the slope-intercept equation:
y = -1\(\frac{1}{2}\)x - 3