Answer:
16)
17) y = -x - 4
18) y = -2x - 1
19) y = -2x
20)
Step-by-step explanation:
With the two points you find the slope using
Then using that slope, plug the slope in with one of the points values of x and y into the point slope formula, and smiplify that into the y-intercept formula.
The intercepts of the graph are:
x-axis interception: .
y-axis interception: .
See the graph of the function in the attached image.
<h3>Constructing a graph</h3>
For constructing a graph we have the following steps:
For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.
Replace these x-values in the given equation. For example:
When x=-4, we will have: . Do this for the all x-values of your ranges.
See the results for this step in the attached table.
Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.
The attached image shows the graph for the given function.
<h3>Find the x- and y-intercepts</h3>The intercepts are points that crosses the axes of your plot. From your graph is possible to see:
x-axis interception points (y=f(x)=0) are: .
y-axis interception point (x=0) is: .
Learn more about intercepts of the graph here:
