Graph by plotting points.
2x = - y + 4
To graph the equation 2x = -y + 4, we can plot points that satisfy the equation.
To find various points, we can substitute different values for x and solve for y.
Let's choose three values for x: -1, 0, and 1.
For x = -1:
2(-1) = -y + 4
-2 = -y + 4
-6 = -y
y = 6
So we have the point (-1, 6).
For x = 0:
2(0) = -y + 4
0 = -y + 4
y = 4
So we have the point (0, 4).
For x = 1:
2(1) = -y + 4
2 = -y + 4
-2 = -y
y = 2
So we have the point (1, 2).
Now, let's plot these points on a graph:
(I apologize for the formatting limitations, but imagine a graph here.)
Label the x-axis and y-axis accordingly.
Plot the points (-1, 6), (0, 4), and (1, 2).
Now, draw a straight line through these points.
This line represents the graph of the equation 2x = -y + 4.