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andre [41]
3 years ago
11

Graph the lines by finding the points of intersection with the axes (intercepts):

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
5 0

To solve this problem you must apply the proccedure shown below:

1. You have the following function:

y=-\frac{1}{2} (x-1)

2. You can rewrite it as following:

y=\frac{(-x+1)}{2}

3. The line intersects the y-axis when x=0, therefore:

y=\frac{(0+1)}{2}=\frac{1}{2} =0.5

4.  The line intersects the x-axis when y=0:

0=\frac{(-x+1)}{2}\\ 0=-x+1\\ x=1

5. Now plot the points (0, 0.5) and (1,0) in a graph , as you can see in the figure attached.

Therefore, the answer is: The points of intersection are (0, 0.5) and (1,0).

rewona [7]3 years ago
5 0

Answer:

Graph in attachment.

Step-by-step explanation:

Given: y=-\dfrac{1}{2}x-1

To graph the line using intercepts with axis.

x-intercept and y-intercept

  • For x-intercept, Put y=0 into equation

0=-\dfrac{1}{2}x-1

x=-2

x-intercept: (-2,0)

  • For y-intercept, Put x=0 into equation

y=-\dfrac{1}{2}\cdot 0-1

y=-1

y-intercept: (0,-1)

Now draw the graph by plotting the points.

Please have a look with attachment for graph.

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