midpoint
Authored by Yudiish Singhania
Mathematics
8th Grade
CCSS covered
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22 questions
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1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What is the midpoint of (2,1) and (-10,4)
?(0,0)
(5,3)
(-6,2)
(-4, 2.5)
Answer explanation
The midpoint of (2,1) and (-10,4) is (-4, 2.5). It is calculated by finding the average of the x-coordinates and the average of the y-coordinates of the given points.
Tags
CCSS.HSG.GPE.B.6
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What is the slope of the line passing through (3,4) and (7,10)?
2
3
4
5
Answer explanation
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1). In this case, the slope is (10 - 4) / (7 - 3) = 6 / 4 = 3/2. None of the answer choices match this slope, so none of them are correct.
Tags
CCSS.8.EE.B.5
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Find the equation of the line passing through (-2,5) and (4,1).
The equation of the line passing through (-2,5) and (4,1) is _____y = -x + 3
y = x - 3
y = -x - 3
y = x + 3
Answer explanation
The equation of the line passing through (-2,5) and (4,1) can be found using the slope-intercept form. The slope is (1-5)/(4-(-2)) = -4/6 = -2/3. Using the point-slope form, we have y - 5 = (-2/3)(x - (-2)). Simplifying, we get y = -2/3x + 14/3. Comparing this with the answer choices, y = -x + 3 is the correct equation.
4.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What are the coordinates of the y-intercept of the line 3x - 4y = 12?
(0,3)
(0,-3)
(0,4)
(0,-4)
Answer explanation
The y-intercept of a line is the point where the line crosses the y-axis. In the equation 3x - 4y = 12, when x=0, we can solve for y to find the y-intercept. Plugging in x=0, we get -4y = 12, which simplifies to y = -3. Therefore, the coordinates of the y-intercept are (0,-3). This is the correct choice.
5.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Has 2 sides of the same length and 1 line of symmetry
Tags
CCSS.2.G.A.1
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Find the equation of the line passing through (1,3) and (5,7).
The equation of the line passing through (1,3) and (5,7) is _____ .y = x + 2
y = -x - 2
y = x - 2
y = -x + 2
7.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What is the slope of the line passing through _____ and (3,8)?
2
3
4
5
Tags
CCSS.8.EE.B.5
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