Question

How do you know a relationship in Linear? Describe how you know based on thegraph, based on the table and based on if you have an equation.

Answer 1

The linear relationship must follow the general rule:

`y=m\cdot x+b`

where m is the slope of the linear relationship and b is called the y-intercept

if b = 0, so, it will be a proportional relationship

So, if we have a graph, the graph will be a line

The slope of the line will be = rise/run

Where rise = the difference between y-coordinates

And the run will be = the difference between x-coordinates

If we have a table, we will find the slope using two points from the table with the ordered pair (x1, y1) and ( x2, y2 ) as follows:

`slope=(y_2-y_1)/(x_2-x_1)`

The ratio must be constant between any two points from the table

Finally, if we have an equation, it must be like the general form or can be converted to the general form

In general, the linear equation has a degree of 1