Linear equations in two variables — Topic practice

5 exercises · 4 automatically checked · 1 written self-check · Untimed

Instructions and review guidance

4 questions · Shuffled order · Untimed practice

Work through the set before checking solutions. Guide question labels match the source lesson references. 1 written response appears below the question bank, with model answers for self-review; these are not automatically graded.

Guide question labels stay the same when the order changes. Check answers when you are ready to review.

Written self-checks are below the question bank and are excluded from the automatic score.

Written responses are self-review exercises.

Saved on this browser and device; clearing browser data removes progress.

The drill

Question 1

  • Guide question E2A

Find the slope through (−2, −3) and (4, 9).

Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.

Question 2

  • Guide question E2B

Find the y-intercept of 5x − 2y = 14.

Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.

Question 4

  • Guide question E2D

What is the slope of a line perpendicular to a line with slope 4/5?

Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.

Question 5

  • Guide question E2E

For 2x + 5y = 50, x increases by 5 while the equation remains true. Find the signed change in y.

Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.

Question navigator and options
  • Answered
  • Correct
  • Incorrect
  • Revealed, not answered
  • Current

Written self-checks

Write your complete response before opening the model answer. Compare both your answer and your reasoning.

Guide question E2C

Write the line through (1, 4) parallel to 3x + y = 9.

Show model answerHide model answer for question E2C

y = −3x + 7. The given line is y = −3x + 9, so a parallel line has slope −3. Substitute (1, 4) into y = −3x + b: 4 = −3 + b, giving b = 7.