Answer:
y = -2x+11
Step-by-step explanation:
If we have a slope and a line, we can use the slope intercept form of a line
y-y1 = m(x-x1)
where (x1,y1) is the point and m is the slope.
Substitute in what we know
y-5 = -2 (x-3)
We want it in slope intercept form which is y = mx+b
Distribute the -2
y-5 = -2x+6
Add 5 to each side
y-5+5 = -2x +11
Answer:
4 feet
Step-by-step explanation:
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Divide through everything by <em>b</em> :

Since <em>a/b</em> < <em>c/d</em>, it follows that

Multiply through everything on the right side by <em>b/d</em> to get

and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) < <em>c/d</em>.
For the other side, you can do something similar and divide through everything by <em>d</em> :

and <em>a/b</em> < <em>c/d</em> tells us that

Then

and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) > <em>a/b</em>.
Then together we get the desired inequality.
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Answer:
Step-by-step explanation:
The direct proportion equation is ...
y = kx
where k is the constant of proportionality. Here, you're told k=-2, so the equation is ...
y = -2x
For x=8, the value of y is ...
y = -2(8) = -16 . . . . . do the multiplication
For y = -20, the value of x is ...
-20 = -2x
10 = x . . . . . . . . . divide both sides by -2