Identifying Points and Calculating Slopes: Linear Equations

A park has two benches located at points A(2, 3) and B(6, 7). What are the coordinates of points A and B?

• A(2, 4), B(5, 7)

• A(1, 3), B(6, 8)

• A(3, 2), B(7, 6)

• A(2, 3), B(6, 7)

Using the coordinates from the previous question, calculate the slope of the line that passes through points A and B.

• m = (y1 + y2) / (x1 + x2)

• m = (y2 - y1) / (x2 - x1)

• m = (x2 - x1) / (y2 - y1)

• m = (y2 + y1) / (x2 - x1)

A car travels from point C(1, 2) to point D(4, 5). Identify the coordinates of points C and D.

• C(0, 2), D(4, 6)

• C(1, 5), D(4, 2)

• C(2, 1), D(5, 4)

• C(1, 2), D(4, 5)

What is the slope of the line connecting points C(1, 2) and D(4, 5)?

• 2

• 1

• -1

• 0

A delivery truck moves from location E(3, 1) to location F(7, 5). What are the coordinates of locations E and F?

• E(3, 1), F(7, 5)

• E(4, 0), F(5, 7)

• E(1, 3), F(8, 6)

• E(2, 2), F(6, 4)

Calculate the slope of the line that connects locations E(3, 1) and F(7, 5).

• 3

• 1

• 0.5

• 2

A cyclist rides from point G(0, 0) to point H(5, 10). Identify the coordinates of points G and H.

• G(0, 0), H(5, 10)

• G(2, 2), H(6, 12)

• G(0, 5), H(5, 5)

• G(1, 1), H(4, 8)

Determine the slope of the line that connects points G(0, 0) and H(5, 10).

• 2

• 5

• 3

• 1

A student plots two points on a graph: I(2, 4) and J(8, 12). What are the coordinates of points I and J?

• I(2, 4), J(8, 12)

• I(2, 5), J(7, 12)

• I(3, 4), J(8, 10)

• I(2, 4), J(6, 12)

Calculate the slope of the line that passes through points I(2, 4) and J(8, 12).

• 2

• 4/3

• 3/4

• 1/2