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midpoint

Authored by Yudiish Singhania

Mathematics

8th Grade

CCSS covered

midpoint
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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 BLANKS QUESTION

1 min • 1 pt

Has 2 sides of the same length and 1 line of symmetry

(a)  

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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