Question

What is the change in y- values for every two units of x-values?

Answer 1

Answer:

The graph of $y\:=\:\frac{1}{2}x$  is also attached below, which indicates that there is a change of only one unit on the y-axis for every two units of x-values.

Step-by-step explanation:

When there is a change in x values, it is basically a horizontal change. horizontal change between two values is also called the run.

And the vertically change between two values is also called the rise.

The slope is basically the ratio of the vertical (rise) and horizontal (run) changes between two points on a line.

For example, consider the equation

$y\:=\:\frac{1}{2}x$

$\mathrm{Slope\:of\:}\frac{1}{2}x:\quad m=\frac{1}{2}$

Here fore every two units of x-values, one units are moved on the y-axis.

In other words, there is a change of only one unit on the y-axis for every two units of x-values.

The graph of $y\:=\:\frac{1}{2}x$  is also attached below which is showing this.