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

Feb 11, 2016

Sample plot of line $y = x - 4$
Notice Slope $m = 1 ,$ For $\theta = {45}^{\circ}$, $c = - 4$ is the $y$- intercept.

#### Explanation:

First step: Express the given equations in the slope-intercept form.
$y = m x + c$
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 $\left(x , y\right)$, 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]}