Question

x+5y=4 please graph and show work.

Answer 1

Step 1: let x = 0, solve for y.
Step 2: plot (0, y)
Step 3: let y = 0 , solve for x.
Step 4: plot (x,0)
Step 5: Draw a straight line between the points in step (2) and step (4).

Answer 2

To find the x intercept let y=0 and solve for x

x + 5(0) = 4
x = 4

So the x intercept is 4.

Then find the y intercept by letting x=0

0 + 5y = 4
5y / 5 = 4/5
y = 4/5

Now you can pick a number for x to find a third coordinate. Let x=2

x + 5y = 4
2 + 5y = 4
2 - 2 + 5y = 4 - 2
5y = 2
5y / 5 = 2 /5
y = 2/5

Now you have 3 coordinates you can plot. Those coordinates are (4, 0) , (0, 4/5) and (2, 2/5)

Answer 3

Or you could just simply choose 3 different x coordinates, substitute those numbers into the equation and solve for y and it will give you 3 coordinates to plot. For example:

x = 1
x = -6
x = 7

Solve for y by substituting the values of x into the equation as follows:

x + 5y = 4
(1) + 5y = 4
1 -1 + 5y = 4 -1
5y = 3
5y/5 = 3/5
y = 3/5 or in decimal form (0.6)

x + 5y = 4
(-6) + 5y = 4
(-6) + 6 + 5y = 4 + 6
5y = 10
5y/5 = 10/5
y = 2

x + 5y = 4
7 + 5y = 4
7-7 + 5y = 4 - 7
5y = -3
5y/5 = -3/5
y = -3/5 or in decimal form (0.6)

Now you have 3 coordinate sets:

(1, 3/5)
(-6, 2)
(7, -3/5)

Answer 4

Either way, you get the same line. Hope this helps