Answer:
![y=\frac{1}{2}x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B4)
Step-by-step explanation:
The equation of a linear function in a slope-intercept form is written as
![y=mx+q](https://tex.z-dn.net/?f=y%3Dmx%2Bq)
where
m is the slope of the line
q is the y-intercept
We proceed as follows. First of all, we find the y-intercept, which is the value of y at which the line touches the y-axis.
From the graph, we see that this occurs at y = 4, therefore the y-intercept is
![q=4](https://tex.z-dn.net/?f=q%3D4)
Now we have to find the slope. We do that by choosing two points along the line, with coordinates
and
and by using the equation
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Here we take the two points:
(0,4)
(-8,0)
So the slope is
![m=\frac{4-0}{0-(-8)}=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4-0%7D%7B0-%28-8%29%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore, the equation of the line is
![y=\frac{1}{2}x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B4)
Answer: If you wanting to find the slope, the answer would be m = -10/3
Step-by-step explanation: Use the slope formula to find the slope m.
Hope this helps you out! ☺
Answer:
A. Skew lines cannot lie in the same plane.
Step-by-step explanation:
(*Which)
Skew Line Definition (from Wikipedia): <em>"In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel." </em>-Wikipedia
<em>"Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions."</em> -Wikipedia
Skew lines cannot lie in the same plane so A is correct and C is incorrect.
B and D are incorrect because our friend Wikipedia just said it was incorrect.