| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
The endpoints of this line segment are at (-2, -4) and (2, 0). What is the slope-intercept equation for this line?
| y = -2\(\frac{1}{2}\)x + 0 | |
| y = -3x + 0 | |
| y = -1\(\frac{1}{2}\)x + 3 | |
| y = x - 2 |
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 -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, -4) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x - 2
The formula for the area of a circle is which of the following?
a = π d2 |
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a = π d |
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a = π r |
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a = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
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.
A coordinate grid is composed of which of the following?
y-axis |
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all of these |
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origin |
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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.
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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equilateral and right |
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equilateral and isosceles |
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isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.