Change between Ax + By = C and y = mx + b, and read the slope and intercepts
Grade 9 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
The line is 5v + 2h = 30. Kira spends 30 tokens on v rides at 5 tokens and h games at 2 tokens: 5v + 2h = 30. With v across and h up, what is the slope of the line?
The line is 3c + 4g = 36. Zee spends $36 on c snack bars at $3 and g gel pens at $4: 3c + 4g = 36. With c across and g up, what is the slope of the line?
The line is 6s + 5w = 60. Milo uses 60 minutes on s songs at 6 minutes and w drills at 5 minutes: 6s + 5w = 60. With s across and w up, what is the slope of the line?
Read this first
Use this
Input–output table of two rows (across | up), the intercept row marked.
Pia has $40 for s snack packs at $5 and j juices at $2: 5s + 2j = 40. With s across and j up, the x-intercept is (8, 0). What does the 8 tell?
- Each snack pack costs $8
- 8 juices fit if there are no snack packs
- 8 snack packs fit if there are no juices
Jun plans 36 minutes: w warm-ups at 4 minutes and d drills at 3 minutes, so 4w + 3d = 36. The intercept (0, 12) has w across, d up. What does the 12 tell?
- 12 drills fit if there are no warm-ups
- 12 warm-ups fit if there are no drills
- Each drill takes 12 minutes
Input–output table
x y 0 -1 4 2 Check a row in each choice.
Luz's rule is y = 3x/4 − 1. Which equation in the form Ax + By = C is the same line?
- 3x − 4y = 1
- 4x − 3y = 4
- 3x + 4y = -4
- 3x − 4y = 4
Ari's rule is y = -x/2 + 5. Which equation in the form Ax + By = C is the same line?
- x + 2y = 10
- 2x + y = -10
- x + 2y = 5
- x − 2y = -10
Noah's rule is y = 5x/2 + 1. Which equation in the form Ax + By = C is the same line?
- 5x − 2y = -2
- 2x − 5y = -2
- 5x − 2y = -1
- 5x + 2y = 2
The slope 0.75 is 3/4. Esme's rule is y = 0.75x − 3. What is the same line in the form Ax + By = C, with whole numbers and A positive?
The slope -0.4 is -2/5. Kira's rule is y = -0.4x + 2. What is the same line in the form Ax + By = C, with whole numbers and A positive?