Graph the linear equation

y=4/5x+5

I know how to plot the points. I just need help figuring out what numbers to plot.

just pick easy values for x. That 4/5 out front makes it likely to use multiples of 5. So

x y
-5 1
0 5
5 9
10 13

For every 5 x increases, y grows by 4. (Since the slope is 4/5)

To graph the linear equation, y = 4/5x + 5, you will need to plot several points and then connect them to form a straight line.

One way to select the points is to choose values for x, substitute them into the equation, and calculate the corresponding y-values. To keep things simple, we can choose integer values for x.

Let's choose three x-values: -5, 0, and 5.

For x = -5:
y = 4/5*(-5) + 5
y = -4 + 5
y = 1

So, for x = -5, y = 1. Plot this point on the coordinate plane.

For x = 0:
y = 4/5*0 + 5
y = 0 + 5
y = 5

So, for x = 0, y = 5. Plot this point as well.

Lastly, for x = 5:
y = 4/5*5 + 5
y = 4 + 5
y = 9

So, for x = 5, y = 9. Plot this point on the graph.

Now, you have three points: (-5, 1), (0, 5), and (5, 9). Plot these points on a coordinate plane and draw a straight line passing through them. Make sure to label your axes and mark the scale appropriately.

Your graph should look like a straight line that passes through these points.