| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
The endpoints of this line segment are at (-2, 1) and (2, 3). What is the slope-intercept equation for this line?
| y = -1\(\frac{1}{2}\)x - 3 | |
| y = \(\frac{1}{2}\)x + 2 | |
| y = 3x - 4 | |
| y = 3x + 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 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, 1) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Plugging these values into the slope-intercept equation:
y = \(\frac{1}{2}\)x + 2
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
|
all of the angles formed by a transversal are called interior angles |
|
same-side interior angles are complementary and equal each other |
|
angles in the same position on different parallel lines are called corresponding angles |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
Which of the following expressions contains exactly two terms?
quadratic |
|
polynomial |
|
monomial |
|
binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
On this circle, line segment AB is the:
diameter |
|
radius |
|
chord |
|
circumference |
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).
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
normalizing |
|
squaring |
|
factoring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.