Answer: y= -3x + 5
Step-by-step explanation:
y2-y1 divide by x2-x1 = m
therefore you would do 8 - -4= 12 divide by -1 - 3= -4 which gives you 12 divided by -4
m= 12/-4 aka m = -3
and to find the y intercept you should use one of the point coordination to plug it into the formula y=mx+ b
use (-1,8)
8= -3(-1) + b
8= 3+b
subtract 3 from both sides
b= 5
then plug the m and the b into y=mx + b
and you get y= -3 + 5
Answer:
Step-by-step explanation:
A company claims that its soup vending machines deliver exactly 8 ounces of soup to every customer.
This means that the null hypothesis is that the mean is exactly 8, that is:
You do not want the vending machines to deliver too much or too little soup.
We don't want the mean to be different from 8, which means that the alternative hypothesis is given by:
The plane you want is parallel to another plane, <em>x</em> - <em>y</em> + <em>z</em> = -5, so they share a normal vector. In this case, it's ⟨1, -1, 1⟩.
The plane must also pass through the point (0, 4, 4) since it contains <em>r</em><em>(t)</em>. Then the equation of the plane is
⟨<em>x</em>, <em>y</em> - 4, <em>z</em> - 4⟩ • ⟨1, -1, 1⟩ = 0
<em>x</em> - (<em>y</em> - 4) + (<em>z</em> - 4) = 0
<em>x</em> - <em>y</em> + <em>z</em> = 0
