How to Find Linear Function
A linear function connecting at least two coordinates is easily found using the point slope form or slope intercept form of a line. As a linear function is the equation of straight line. It is found using equation of line concept. This is explained in the example added below,
Example: Find the Linear function when two points on the function are, (-1, 2) and (3, 4)
Solution:
Given Points,
- (x1, y1) = (-1, 2)
- (x2, y2) = (3, 4)
Slope of Line(m) = (y2 – y1)/(x2 – x1)
m = (4 – 2)/(3 – {-1}) = 2/4 = 1/2
Now the linear function is,
y – y1 = m(x – x1)
y – 2 = 1/2(x – {-1})
y – 2 = 1/2(x + 1)
2y – 4 = x + 1
x – 2y + 5 = 0
This is the required linear function.
Linear Function
A linear function is a mathematical function that creates a straight line when graphed. It can be described by the formula: y = mx+b. A linear function in Algebra represents a straight line in the 2-D or 3-D cartesian plane. Hence this function is called a linear function. It is a function with variables and constant but no exponent value.
A linear function is represented as y = mx + c where y is the dependent variable and x is the independent variable. We know that for any function y = f(x) linear functions are also represented as, f(x) = mx + c
Let’s know more about Linear Function, Examples of Linear Function, equation and the graph of Linear function below.