Lesson 12: Using Equations for Lines | Unit 2: Dilations, Similarity, and Introducing Slope

Multiple Select

Select **all** the points that are on the line.

• (4,11)

• (5,10)

• (6,14)

• (30,50)

• (40,60)

Multiple Choice

All three points displayed are on the line. Which equation relates $$x$$ and $$y$$ ?

• y = -2x + 3
• y = 3x - 6
• y = x + 1
• y = 2x - 3

Draw

Draw the dilation of triangle $$ABC$$ with center $$(2,0)$$ and scale factor 3.

Draw

Draw the dilation of triangle $$ABC$$ with center $$(2,0)$$ and scale factor $$\frac 1 2$$ .

Multiple Choice

What are the coordinates of the image of point $$C$$ when triangle $$ABC$$ is dilated with center $$(2,0)$$ and scale factor $$s$$ ?

• (s(x_C + 2), y_C)
• (2 - s(x_C - 2), s(y_C + 1))
• (s(x_C), s(y_C - 1))
• (2 + s(x_C - 2), s(y_C))

Multiple Select

The graph shows a line. Select **all** points that are on this line.

• (0,3)

• (4,2)

• (30,21)

• (16,11)

• (-4,-5)

Multiple Select

A line is represented by the equation $$\frac{y}{x-2}=\frac{3}{11}$$ . For each point, determine if it is on this line.

• (3,13)

• (13,3)

• (35,9)

• (40, 10)

• (46, 12)

Multiple Choice

What is the equation of the line shown in the graph?

• y = x + 4
• y = 3x - 2
• y = -x + 4
• y = 2x + 1