See explanation below
Explanation:
2x + y = 4
to graph the equation, let's first make y the subject of formula:
we subtarct 2x from both sides
2x - 2x + y = 4 - 2x
y = 4 - 2x
Now we assign values to x in order to get y:
using x = -1, 0, 1, 2
when x = -1
y = 4 - 2(-1)
y = 4 + 2 = 6
when x = 0
y = 4 - 2(0)
y = 4 - 0 = 4
when x = 1
y = 4 - 2(1)
y = 4 - 2 = 2
when x = 2
y= 4 - 2(2)
y = 4 - 4 = 0
We can now plot the graph using the value we obtained:
The points (x, y) will be: (-1, 6), (0, 4), (1, 2), (2, 0)
We can make a graph that the x axis: one square represent 1 unit
y axis: 1 suare (box) represent 1 unit
We can number on the x axis from -2 to 4. And on the y axis -2 to 8
Then we trace the points of x and y for each points we obtained.
After wards draw the graph
An illustration:
