Point-slope form: graph a line from it, and write an equation in it

Answer Key - Grade 9 Math Worksheet

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

1. 1.

   The slope is -2. Noah's line has slope -2 and passes through (3, -1). What equation fits, in point-slope form?

   y + 1 = -2(x − 3)
2. 2.

   The slope is 4. Ari's line has slope 4 and passes through (-2, 5). What equation fits, in point-slope form?

   y − 5 = 4(x + 2)
3. 3.

   The slope is 3. Luz's line has slope 3 and passes through (-4, -3). What equation fits, in point-slope form?

   y + 3 = 3(x + 4)
4. 4.

   “The rule is y − 3 = 2(x − 5)” Pia's line is y − 3 = 2(x − 5). What is the rule in y = mx + b form?

   y = 2x − 7
5. 5.

   “The rule is y − 5 = -3(x − 1)” Bo's line is y − 5 = -3(x − 1). What is the rule in y = mx + b form?

   y = -3x + 8
6. 6.

   “The rule is y − 5 = 4(x + 2)” Milo's line is y − 5 = 4(x + 2). What is the rule in y = mx + b form?

   y = 4x + 13
7. 7.

   “The rule is y + 1 = -2(x − 3)” Zee's line is y + 1 = -2(x − 3). What is the rule in y = mx + b form?

   y = -2x + 5

8. Read this first

   Input–output table

   x	y
   1	5
   3	11

9. 8.

   Kira's line passes through (1, 5) and (3, 11). Use the first point. What equation fits, in point-slope form?

   y − 5 = 3(x − 1)
10. 9.

    Ren's line passes through (2, 9) and (5, 3). Use the first point. What equation fits, in point-slope form?

    y − 9 = -2(x − 2)
11. 10.

    Esme's line passes through (-1, 2) and (3, 10). Use the first point. What equation fits, in point-slope form?

    y − 2 = 2(x + 1)