Find a missing coordinate when the slope is given

Answer Key - Grade 9 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   The slope is 3. On a math-club grid, Kira's line has slope 3 and passes through (2, 5) and (6, y). The set-up is (y − 5) ÷ (6 − 2) = 3. What is y?

   17
2. 2.

   The slope is 2. On a grid in the park, Kira's line has slope 2 and passes through (1, 4) and (5, y). The set-up is (y − 4) ÷ (5 − 1) = 2. What is y?

   12
3. 3.

   The slope is 4. On a bike-path map, Esme's line has slope 4 and passes through (3, 2) and (5, y). The set-up is (y − 2) ÷ (5 − 3) = 4. What is y?

   10
4. 4.

   The slope is 5. On a star chart, Noah's line has slope 5 and passes through (2, 1) and (5, y). The set-up is (y − 1) ÷ (5 − 2) = 5. What is y?

   16
5. 5.

   The slope is 2. Ari's line has slope 2 and passes through (1, 3) and (x, 11). The set-up is (11 − 3) ÷ (x − 1) = 2. What is x?

   5
6. 6.

   The slope is 3. Luz's line has slope 3 and passes through (2, 5) and (x, 17). The set-up is (17 − 5) ÷ (x − 2) = 3. What is x?

   6
7. 7.

   The slope is 4. Tala's line has slope 4 and passes through (3, 2) and (x, 18). The set-up is (18 − 2) ÷ (x − 3) = 4. What is x?

   7
8. 8.

   The slope is 5. Jun's line has slope 5 and passes through (2, 6) and (x, 31). The set-up is (31 − 6) ÷ (x − 2) = 5. What is x?

   7

9. Read this first

   Input–output table

   x	y
   the output rises by 3 for each 1 step across	over 4 steps

10. 9.

    Pia's line has slope 3. Going 4 steps across, how far does y rise?

    12
11. 10.

    Milo's line has slope 2. Going 7 steps across, how far does y rise?

    14