Write y = mx + b from a slope and a point, a y-intercept and a point, or two points
Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Luz's line passes through (-4, -1) and (4, 5). What rule, written as y = mx + b, gives the line?
Milo's line passes through (2, 5.5) and (6, 7.5). What rule, written as y = mx + b, gives the line?
Noah's line passes through (5, 3.5) and (10, 8). What rule, written as y = mx + b, gives the line?
Pia's plant is 14 cm tall at week 3 and grows 2 cm each week. Let x be weeks and y the height in cm. What rule gives y, as y = mx + b?
Ren's candle is 30 cm tall at hour 2 and 24 cm at hour 5. Let x be hours and y the height in cm. What rule gives y, as y = mx + b?
Tala's bottle starts at 750 mL and has 600 mL after 3 steady hours of sipping. Let x be hours and y the mL left. What rule gives y, as y = mx + b?
Zee's line passes through (1, 4) and (3, 10). What is y on the line when x = 6?
Ari's line passes through (2, 7) and (4, 3). What is y on the line when x = 5?
Esme wants a rule for the line through (2, 7) and (5, 16). Which rule fits both points?
- y = 3x + 1
- y = x + 3
- y = 3x
- y = 3x + 7
Kira wants a rule for the line through (2, 1) and (6, 7). Which rule fits both points?
- y = 3x ÷ 2 − 2
- y = 3x ÷ 2 + 2
- y = 3x ÷ 2 + 1
- y = 2x ÷ 3 − 2