Question

Can anyone teach me what is a graph and how it works?thank you..

Answer 1

Sample plot of line `y=x-4`
Notice Slope `m=1,` For `theta=45^@`, `c=-4` is the `y`- intercept.

Explanation:

First step: Express the given equations in the slope-intercept form.
`y=mx+c`
Here `m` is the slope and `c` is the `y`- intercept.

Slope of a line is `tan theta`, where `theta` is the angle the line makes with the `x`-axis.

The intercept is the point where the line intersects the `y`-axis

Second step: Plot both the lines on a graph paper.

Third step: Locate the point of intersection of both lines. Note down point `(x,y)`, the point of intersection. This is the solution for set of linear equations.

To learn how to plot straight line on a graph, one can make use of Graph tool given at the top of Answer box.

graph{y=x-4 [-10.14, 10.13, -5.07, 5.07]}