Graph by plotting points.

Question

2x = - y + 4

Answer 1

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.