Question

How do you graph the equation `y=5x-3`?

Answer 1

See a solution process below:

Explanation:

First, solve for two points which solve the equation and plot these points:

First Point: For `x = 0`

`y = (5 * 0) - 3`

`y = 0 - 3`

`y = -3` or `(0, -3)`

Second Point: For `y = 1`

`y = (5 * 1) - 3`

`y = 5 - 3`

`y = 2` or `(1, 2)`

We can next plot the two points on the coordinate plane:

graph{(x^2+(y+3)^2-0.025)((x-1)^2+(y-2)^2-0.025)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y-5x+3)(x^2+(y+3)^2-0.025)((x-1)^2+(y-2)^2-0.025)=0 [-10, 10, -5, 5]}

Answer 2

Set up a table with the "x" and "y" values (calculated from the expression). The plot those on graph paper.

Explanation:

Beginning graphing is always best manually because you can understand how the graph works better. Many programs are available that will plot simple equations easily. BUT, if you don't know what an graph SHOULD look like, you might get an erroneous result.