Digits, Grade 8, Volume 1, Homework Helper

2-3: TEKS Practice

  • 1. Think About the Process

    A graph of a line slanting downward through points (-2, 5) and (4, 2).

    • a. Write the expression for the slope of a line using any two points.

      • A. fraction horizontalchange , over verticalchange end fraction

      • B. fraction verticalchange , over horizontalchange end fraction

      • C. vertical change × horizontal change

      • D. vertical change − horizontal change

    • b. Find the slope of the line shown.

  • 2. Find the slope of the line.

    A graph of a line slanting downward through points (-1, 1) and (3, -7).

  • 3. Think About the Process

    • a. Find the expression that will correctly find the slope of a line that goes through the points (−5, 3) and (5, 7).

      • A. fraction 3 minus 7 , over 5 minus open negative 5 close end fraction

      • B. fraction 7 minus 3 , over negative 5 minus 5 end fraction

      • C. fraction 3 minus . open , negative 5 , close , over 7 minus 5 end fraction

      • D. fraction 7 minus 3 , over 5 minus . open , negative 5 , close end fraction

    • b. Find the slope of the line.

  • 4. Find the slope of the line through the points (−2, 3) and (1,−3).

  • 5. Line 1 passes through the points (−2,−7) and (3,3). Line 2 passes through the points (5,1) and (9,1).

    • a. Find the slope of each line.

    • b. Which line has the greater slope?

  • 6. A contractor is roofing a house. The contractor considers a roof to be steep when the roof rises 7 in. or more for every 12 in. it runs. The following graph is a model of how steep the roof is. Does the contractor believe the roof is steep? What is the slope of the roof?

    A graph of a horizontal line passing through points (-7, 2) and (7, 2).

    • a. No, the contractor does not believe the roof is steep because the slope of the roof is .

    • b. Yes, the contractor believes the roof is steep because the slope of the roof is .

  • 7. The science teacher is showing students a model rocket. The teacher says for the rocket to be shot correctly the fraction rise , over run end fraction should be from fraction 11in , . , over 4in , . end fraction up to straight up (vertical) before the launch. The graph shows the slope of the rocket before the launch.

    A graph of a vertical line extending between points (-7, 1) and (-7, -6).

    • a. Find the slope at which the rocket is being shot.

    • b. Will the rocket be shot correctly?


End ofPage 58

Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties