Grade 8 | Unit 2 | Lesson 11: Writing Equations for Lines | Practice Problems

For each pair of points, find the slope of the line that passes through both points.

• ${1,1}$ and ${7,5}$

• ${1,1}$ and ${5,7}$

• ${2,5}$ and ${-1,2}$

• ${2,5}$ and ${-7,-4}

Line ${l}$ is shown in the coordinate plane. What are the coordinates of points $B$ and $D$?

Is the point $(16,20)$ on line $l$? Explain how you know.

Is the point $(20,24)$ on line $l$? Explain how you know.

Is the point $(80,100)$ on line $l$? Explain how you know.

Write a rule that would allow you to test whether $(x,y)$ is on line $l$.

Consider the graphed line. Mai uses Triangle A and says the slope of this line is $\frac{6}{4}$. Elena uses Triangle B and says no, the slope of this line is 1.5. Do you agree with either of them? Explain.

A rectangle has length 6 and height 4. Which of these would tell you that quadrilateral $ABCD$ is definitely not similar to this rectangle? Select all that apply.

• C: $AB=8$

• B: $m{\angle ABC}=105^\circ$

• A: $AB=BC$

• E: $BC=2 \cdot AB$

• D: $BC=8$