Intercept Hunter Worksheet
Intercept Hunter Worksheet
Linear Equations • Finding the \(y\)-Intercept (\(b\))
Name:
Date:
Period:
Directions: Substitute the given slope \(m\) and point \((x, y)\) into \(y = mx + b\) to solve for the \(y\)-intercept (\(b\)).
\(b = y - mx\)
Level 1 • Positive Whole Numbers Q 1–5
Level 2 • Signed Integers & Zero Q 6–10
1 \(m = 2\) Point: \((3, 11)\)
Work above
\(b =\)
2 \(m = 3\) Point: \((2, 10)\)
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\(b =\)
3 \(m = 4\) Point: \((1, 9)\)
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\(b =\)
4 \(m = 5\) Point: \((3, 18)\)
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\(b =\)
5 \(m = 2\) Point: \((6, 20)\)
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\(b =\)
6 \(m = -2\) Point: \((4, 1)\)
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\(b =\)
7 \(m = -3\) Point: \((3, -4)\)
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\(b =\)
8 \(m = 4\) Point: \((0, 7)\)
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\(b =\)
9 \(m = -1\) Point: \((5, -2)\)
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\(b =\)
10 \(m = 6\) Point: \((2, 12)\)
Work above
\(b =\)
Intercept Hunter Worksheet • Slope & Point Practice Page 1 of 4 • Questions 1–10
Intercept Hunter Worksheet
Substitute \(m\), \(x\), and \(y\) into \(y = mx + b\) to find \(b\).
Name:
Date:
Level 3 • Mixed Signs & Larger Values Q 11–15
Level 4 • Unit Fractions (Integer \(b\)) Q 16–20
11 \(m = 3\) Point: \((-4, -7)\)
Work above
\(b =\)
12 \(m = -5\) Point: \((-2, 3)\)
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\(b =\)
13 \(m = -4\) Point: \((5, -26)\)
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\(b =\)
14 \(m = 7\) Point: \((-3, -29)\)
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\(b =\)
15 \(m = -8\) Point: \((-3, 14)\)
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\(b =\)
16 \(m = \frac{1}{2}\) Point: \((6, 7)\)
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\(b =\)
17 \(m = \frac{1}{3}\) Point: \((9, 1)\)
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\(b =\)
18 \(m = -\frac{1}{2}\) Point: \((8, -1)\)
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\(b =\)
19 \(m = \frac{1}{4}\) Point: \((-8, -5)\)
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\(b =\)
20 \(m = -\frac{1}{5}\) Point: \((-10, 6)\)
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\(b =\)
Intercept Hunter Worksheet • Slope & Point Practice Page 2 of 4 • Questions 11–20
Intercept Hunter Worksheet
Simplify fraction products carefully before finding \(b\).
Name:
Date:
Level 5 • General Fractions (Integer \(b\)) Q 21–25
Level 6 • Halves & Quarters (Fraction \(b\)) Q 26–30
21 \(m = \frac{2}{3}\) Point: \((6, 9)\)
Work above
\(b =\)
22 \(m = -\frac{3}{4}\) Point: \((8, -2)\)
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\(b =\)
23 \(m = \frac{5}{2}\) Point: \((-4, -7)\)
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\(b =\)
24 \(m = -\frac{2}{5}\) Point: \((15, -1)\)
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\(b =\)
25 \(m = \frac{4}{3}\) Point: \((-9, -16)\)
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\(b =\)
26 \(m = \frac{1}{2}\) Point: \((3, 5)\)
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\(b =\)
27 \(m = \frac{3}{2}\) Point: \((3, 2)\)
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\(b =\)
28 \(m = -\frac{1}{2}\) Point: \((5, 1)\)
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\(b =\)
29 \(m = \frac{1}{4}\) Point: \((3, 2)\)
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\(b =\)
30 \(m = -\frac{3}{4}\) Point: \((2, -1)\)
Work above
\(b =\)
Intercept Hunter Worksheet • Slope & Point Practice Page 3 of 4 • Questions 21–30
Intercept Hunter Worksheet
Master Level • Express fractional answers in simplest improper or mixed form.
Name:
Date:
Level 7 • Signed Points & Fraction \(b\) Q 31–35
Level 8 • Advanced Rational Challenges Q 36–40
31 \(m = \frac{2}{3}\) Point: \((2, -1)\)
Work above
\(b =\)
32 \(m = -\frac{4}{3}\) Point: \((-2, 5)\)
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\(b =\)
33 \(m = \frac{3}{5}\) Point: \((-4, 2)\)
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\(b =\)
34 \(m = -\frac{2}{5}\) Point: \((-3, -3)\)
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\(b =\)
35 \(m = \frac{5}{4}\) Point: \((-5, 1)\)
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\(b =\)
36 \(m = -\frac{5}{6}\) Point: \((4, -2)\)
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\(b =\)
37 \(m = \frac{7}{3}\) Point: \((-5, -6)\)
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\(b =\)
38 \(m = -\frac{3}{8}\) Point: \((-6, 4)\)
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\(b =\)
39 \(m = \frac{4}{7}\) Point: \((-3, -5)\)
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\(b =\)
40 \(m = -\frac{7}{5}\) Point: \((6, -4)\)
Work above
\(b =\)
Intercept Hunter Worksheet • Slope & Point Practice Page 4 of 4 • Questions 31–40
