Math class 11th (Functions and Graphs) chapter no 2 Exercise 2.2 (Question no 2) New syllabus
Автор: Math With Zafar Iqbal
Загружено: 2026-02-09
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#mathematics #linearfunctions#graphs
Math class 11th (Fuctions and Graphs) chapter no 2 Exercise 2.2 (Question no 2) New syllabus
In mathematics, a linear function is a function whose graph is a straight line. It is usually written in the form:
y = mx + c
Where:
m = slope (gradient) of the line
c = y-intercept (point where the line cuts the y-axis)
The graph of a linear function shows a constant rate of change. This means that for every equal increase in x, y increases or decreases by the same amount.
🔹 Key Features of Linear Graphs
Straight Line: No curves, bends, or turns
Slope (m):
Positive slope → line rises from left to right 📈
Negative slope → line falls from left to right 📉
Zero slope → horizontal line
Y-intercept (c): The value of y when x = 0
X-intercept: The point where the graph crosses the x-axis (y = 0)
🔹 How to Draw the Graph
Write the equation in the form y = mx + c
Plot the y-intercept (c) on the y-axis
Use the slope m = rise/run to find another point
Draw a straight line through the points
🔹 Real-Life Examples
Linear functions are used to represent:
Distance travelled at constant speed
Cost vs number of items bought
Temperature change at a constant rate
Linear graphs help us visualize relationships between two variables clearly and simply.
#Mathematics #LinearFunctions #Graphs #Slope #Algebra #CoordinateGeometry
Math class 11th (Functions and Graphs) chapter no 2 Exercise 2.2 (Question no 2) New syllabus
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