ACT Math - Coordinate Geometry

Find the slope between the given points:

(-3, 4) and (5, -6)

• 4/5

• 5/4

• -4/5

• -5/4

Select the equation that contains these two points:

(-1, -5) and (1, 3)

• y = 4x - 1

• y = 4x + 1

• y = (1/4)x - 1

• y = (1/4)x + 1

The equation y = (1/3)x + 4 defines a line. Which of these equations defines a line that is perpendicular to the first?

• y = (1/3)x - 2

• y = -(1/3)x + 5

• y = 3x - 5

• y = -3x + 2

A YouTuber starts the year with 1000 followers and plans to add 250 followers each month. Which equation represents the growth in the number of followers?

• f = 1000m + 250

• f = 250m + 1000

• f = m(250+1000)

• f = (1000/m) + 250

What is the distance between the points (-1, -4) and (4, 8)?

• 7

• 12

• 13

• 17

What is the midpoint of these two points?

(-3, 4) and (5, 0)

• (-4, 2)

• (2, 0)

• (1, 2)

• (8, 4)

Where is the vertex of this parabola?

y = x² – 6x + 2

• (0, 2)

• (-3, 29)

• (3, -7)

• (6, 2)

What are the zeros of this function?

(x - 1)(x + 5)(x - 1)(x + 8)

• x = -1, 5, and 8

• x = 1, -5, and -8

• x = 1

• There are no zeroes for this function

A student launches a homemade rocket from the roof of his house. The trajectory of the rocket is represented by the function h = -0.5t^2 + 8t + 10, where h equals the height of the rocket (in feet) above the ground (after 5 seconds).

What is the maximum height reached by the rocket?

• 8 feet

• 10 feet

• 42 feet

• 84 feet

A student launches a homemade rocket from the roof of his house. The trajectory of the rocket is represented by the function h = -0.5t^2 + 8t + 10, where h equals the height of the rocket (in feet) above the ground (after t seconds).

For how many seconds is the rocket in motion (rounded to the nearest second)?

• 8 seconds

• 10 seconds

• 17 seconds

• 42 seconds