Graph the equation by plotting points

Question

2x = - y + 4

Answer 1

To plot the graph of the equation 2x = -y + 4, we need to find different points that satisfy this equation.

Let's choose different values for x and find the corresponding y values:

1. When x = 0:
2(0) = -y + 4
0 = -y + 4
y = 4

So, one point is (0, 4).

2. When x = 1:
2(1) = -y + 4
2 = -y + 4
-y = 2 - 4
-y = -2
y = 2

Another point is (1, 2).

3. When x = 2:
2(2) = -y + 4
4 = -y + 4
-y = 0
y = 0

Another point is (2, 0).

Now, we can plot these points on a graph and draw a line through them:

(-1, 6)
(0, 4)
(1, 2)
(2, 0)

After connecting the points, the graph of the equation 2x = -y + 4 is a straight line that intersects the y-axis at 4.