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What is Linear functions?

linear function

Linear functions are of the general form, f(x) = ax+b, where ‘a’ and ‘b’ are constants. The relationship between ‘x’ and ‘f(x)’ in a linear equation gives us a straight line.

Linear equation

 

Slope is the rate of change in ‘f(x)’ with respect to the change in ‘x’.

Given two co-ordinate points: (x1, y1) and (x2, y2)

Then slope, m = (y2 –y1) / (x2 –y1)

Y-intercept is the point where the graph touches the Y-axis.

So, when x = 0, y = b -> point = (0,b)

Example:

Find the slope of the points: (1,2) and (4,5)

Slope, m = (5-2) / (4-1)

m = 3/3 -> m= 1

linear equation  

Example: Graph and write the equation of the line in slope-intercept form given a point (3, 4) and slope 2.

linear functions  linear and nonlinear functions

 

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You can also Read our other blog What Is Linear Equation And Inequalities?

 

 

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