Graph the equation by plotting points
2x = - y + 4
Complete the ordering pairs ( -2, ) ( 1, )
To graph the equation 2x = - y + 4, we can rearrange it into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
2x = - y + 4
Rearranging:
y = -2x + 4
To find the x and y values for the given ordered pairs (-2, ) and (1, ), we substitute the x values into the equation and solve for y.
For (-2, ):
x = -2
y = -2(-2) + 4
y = 4 + 4
y = 8
So the ordered pair is (-2, 8).
For (1, ):
x = 1
y = -2(1) + 4
y = -2 + 4
y = 2
So the ordered pair is (1, 2).
Now, we can plot the points (-2, 8) and (1, 2) on a graph to form the line:
(-2, 8) (1, 2)
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-5 0 5 10 15
The equation 2x = - y + 4 corresponds to a line on the graph passing through the points (-2, 8) and (1, 2).