Unit 3 · Class 8 IB MYP · Formula Sheet
Linear Functions & Graphs Formulas — Class 8 IB MYP
Graph linear functions, find slope and intercepts, and interpret graphs in context.
Key Formulas
Slope-Intercept
y = mx + c
Gradient
m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{\text{rise}}{\text{run}}
x-intercept
\text{Set } y = 0 \text{ and solve}
y-intercept
c \text{ (value when } x = 0\text{)}
Parallel Lines
m_1 = m_2
Perpendicular Lines
m_1 \times m_2 = -1
Worked Examples
1Using: Supplementary Angles
If one angle is 65 degrees, find its supplement.
Step 1: Supplement = 180 - 65
Step 2: = 115 degrees.
Answer: 115 degrees
2Using: Vertically Opposite
Two lines intersect. If one angle is 40 degrees, find the vertically opposite angle.
Step 1: Vertically opposite angles are equal.
Step 2: The angle = 40 degrees.
Answer: 40 degrees
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