BitWithBite
Mathematics Worksheet
📈 Graphing Lines
SCORE___ / 20
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After this worksheet you can
Find the slope through two points.Find x- and y-intercepts.Use slope-intercept form y = mx + b.Interpret the sign of the slope.📚 Quick Recap
Every linear equation corresponds to a straight line on a graph — and understanding slope and intercepts lets you sketch or interpret that line without plotting dozens of points.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1Slope through (2,3) and (5,12):
2Slope through (1,7) and (4,1):
3The y-intercept of y = 5x − 10 is:
4The x-intercept of y = 2x − 8 is:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5Slope = (y₂ − y₁) / .
6In y = mx + b, b is the -intercept.
7Find the slope through (2,3) and (5,12).
8Find the slope through (1,7) and (4,1).
9Find the y-intercept of y = 5x − 10.
🚀 Section C · Challenge ● CHALLENGE 5
10Find the x-intercept of y = 2x − 8.
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-A 3-B 4-A | 5 (x₂ − x₁) 6 y 7 = 3 8 = −2 9 = −10 | 10 = 4