midpoint

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.

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.

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.

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.

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

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

What is the slope of the line passing through _____ and (3,8)?

• 2

• 3

• 4

• 5

What are the coordinates of the y-intercept of the line 2x - 3y = 6?

• (0,2)

• (0,-2)

• (0,3)

• (0,-3)

What is the y-intercept of the line passing through (2,5) and (6,1)?

• (0,3)

• (0,-3)

• (0,4)

• (0,-4)

Find the slope of the line passing through (-3,7) and (5,1).

The slope of the line passing through (-3,7) and (5,1) is _____ .

• 1

• -1

• 2

• -2