Question

How to graph the following problems on a graph.
1. y= 2x+5
2. 2x+ 3y= 8
3. y= 3x-5
4. 4y= 2x-9

Answer 1

It's hard to show here the actual graph so I'll just tell you what to do. There are plenty of ways to graph them, but this is, for me, the simplest:

1. First, find the x- and y-intercepts.
To the x-intercept, let y = 0 and solve for x. To find the y-intercept, let x = 0 and solve for y.

2. Then plot the points on a Cartersian plane.

3. Draw a line connecting the two points, and you have the graph!

Let's take the first equation as example: y = 2x + 5.
For the x-intercept, (let y=0)
0 = 2x + 5
2x = -5
x = -5/2
Thus the point is (-5/2, 0)
For the y-intercept, (let x=0)
y = 2(0) + 5
y = 0 + 5
y = 5
Thus the point is (0, 5)

Then get a graphing paper and plot these points, and connect them with a line.

Hope this helps~ :3