Coordinate Geometry

What is the distance between the points (3, 4) and (7, 1)?

• 2.5

• 5.0

• 25

• 7.0

Calculate the slope of the line passing through the points (2, 3) and (5, 9).

• 5

• 2

• 3

Are the lines with equations y = 2x + 3 and y = 2x - 5 parallel?

• Yes, the lines intersect.

• Yes, the lines have same slope.

• No, the lines have different slopes.

• No, the lines are perpendicular.

Nita and Rudi are playing a game where they need to find the midpoint of the segment connecting their two favorite spots in the park, which are located at the points (1, 2) and (3, 4).

• (2, 3)

• (1, 2)

• (2, 4)

• (3, 4)

Using the distance formula, what is the distance between (0, 0) and (6, 8)?

• 8

• 5

• 12

• 10

Nisa is tracking her progress in a math project. She notes that when she started, in the third month, her score was 4, and in the seventh month, her score improved to 6. Determine the slope of the line that represents her progress over time, going through the points (3, 4) and (7, 6).

• 2

• No, the product of their slopes is -1.

• Yes, they have the same slopes.

• No, their slopes are different.

• Yes, the slope of one line is the negative reciprocal of the other.

The midpoint of the segment joining the points A(x,y) and B(10, 2) is (6,4). The coordinate of point A is

• (8, 3)

• (5, 4)

• (2,6)

• (6, 5)

Find the coordinate of a point on the x-axis that is equidistant from points A(2, 5) and B(4, -1).

• (3,0)

• (0,-3)

• (-3,0)

• (6,0)

Find the slope of the line represented by the equation 3x - 4y = 12.

• 2