Question

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

y=− 1/2 x−1

Answer 1

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).

Answer 2

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.