For the equation, give the x-intercept and the y-intercept. Then graph the equation.
2x−y=8
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Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The x-intercept is enter your response here.
(Type an ordered pair. Simplify your answer.)
B.
There is no x-intercept.
Part 2
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The y-intercept is enter your response here.
(Type an ordered pair. Simplify your answer.)
B.
There is no y-intercept.
Part 3
Use the graphing tool to graph the line.
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graph
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To find the x-intercept, we need to set the y-value to 0 and solve for x:
2x - 0 = 8
2x = 8
x = 4
Therefore, the x-intercept is (4, 0).
To find the y-intercept, we need to set the x-value to 0 and solve for y:
2(0) - y = 8
0 - y = 8
y = -8
Therefore, the y-intercept is (0, -8).
The graph of the equation 2x - y = 8 would include the points (4, 0) and (0, -8) and would be a straight line. (Unfortunately, as an AI text-based model, I am unable to draw the graph for you.)
Part 1: To find the x-intercept, we set y = 0 in the equation 2x - y = 8 and solve for x.
When y = 0, the equation becomes:
2x - 0 = 8
2x = 8
x = 4
So, the x-intercept is (4, 0).
Part 2: To find the y-intercept, we set x = 0 in the equation 2x - y = 8 and solve for y.
When x = 0, the equation becomes:
2(0) - y = 8
0 - y = 8
-y = 8
y = -8
So, the y-intercept is (0, -8).
Part 3: To graph the equation, we plot the x-intercept (4, 0) and the y-intercept (0, -8), and draw a straight line passing through these two points.
The graph should show a straight line that passes through (4, 0) and (0, -8).
To find the x-intercept of an equation, we set y to zero and solve for x. Similarly, to find the y-intercept, we set x to zero and solve for y.
For the equation 2x - y = 8:
1. To find the x-intercept:
Set y = 0:
2x - 0 = 8
2x = 8
Divide both sides by 2:
x = 4
So, the x-intercept is (4, 0).
2. To find the y-intercept:
Set x = 0:
2(0) - y = 8
0 - y = 8
y = -8
So, the y-intercept is (0, -8).
3. To graph the equation:
Plot the x-intercept (4, 0) and the y-intercept (0, -8) on the coordinate plane. Then draw a straight line passing through these two points. The graph will represent the equation 2x - y = 8.
I hope this helps! Let me know if you have any further questions.