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Slope-Intercept Form
Coordinate Geometry • Grades 7, 8, 9, 10
Coordinate Geometry
Slope-Intercept Form
Master writing and graphing linear equations in slope-intercept form y = mx + b.
The Formula
y = mx + b
Used for: Graphing and writing the equation of a straight line given its slope m and y-intercept b
mSlope / gradient of the line
by-intercept (where line crosses y-axis at (0, b))
x, yCoordinates of any point on the line
⚡Live Interactive Quick Solver
Instant CalculationLine Equation:y = 2x + 3
y-intercept point: (0, 3) • x-intercept: -1.50
y = mx + b
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🎯 Key Concepts & Rules
Essential principles for calculating with this formula:
📉
m = SlopeTells you the rate of change and direction.
📍
b = y-interceptWhere the line crosses the y-axis at point (0, b).
📝 Worked Examples & Step-by-Step Solutions
Example 1: Write Equation
Problem:
Slope m = 3, crosses y-axis at (0, -4).1
Identify
m = 3, b = -42
Substitute
y = 3x - 4Answer: y = 3x - 4
💡 Pro Tips & Common Mistakes
Standard Form Conversion
To convert Ax + By = C to slope-intercept: y = (-A/B)x + (C/B).
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