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✅Question : Graph the following equation by plotting two points.y+5=1/2(x-4)
✅Answer :
To graph the equation y + 5 = (1/2)(x – 4), we can choose two values of x, plug them into the equation to find the corresponding y-values, and then plot these points on the coordinate plane.
Let’s choose x = 0 and x = 8:
For x = 0: y + 5 = (1/2)(0 – 4) y + 5 = -2 y = -7
So, the first point is (0, -7).
For x = 8: y + 5 = (1/2)(8 – 4) y + 5 = 2 y = -3
So, the second point is (8, -3).
Now, let’s plot these points on the coordinate plane:
- Point 1: (0, -7)
- Point 2: (8, -3)
Next, connect these two points with a straight line to graph the equation y + 5 = (1/2)(x – 4):
| -7| ● (0, -7) | | -6| | | -5| | ● (8, -3) | -4| | | -3| | | -2| | | -1| |_______________________ -6 -4 -2 0 2 4 6 8
The graph of the equation y + 5 = (1/2)(x – 4) is a straight line that passes through the points (0, -7) and (8, -3).
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