Key features of a linear function from a table are the ordered pairs which are points on a line.In the equation,the slope of the function which is the rate of change and the y-intercept value are indicated.
Step-by-step explanation:
A linear function can be written in the slope intercept form or a point slope form of a line. Where a table is given for values representing the function, the ordered pairs will represent points on the line.The gradient of the line is a ratio of rise to run from the table values.In slope intercept form, the gradient and initial value of the function are indicated.
For example in a function f(x)=mx+b , m is the gradient of the line and b is the y-intercept value of the function.
To find the slope, m, you divide the difference between y-values by the difference in corresponding x-values of any two points on the line.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
A decreasing linear function has a negative slope; if m<0 then f(x)=mx+c is decreasing
An increasing linear function has a positive slope where m>0.
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