<h2>Answer</h2>

<h2>Explanation</h2>
The first thing we need to do is find the slope of our line. To do it we are using the slope formula:

where
is the slope of the line
are the coordinates of the first point on the line
are the coordinates of the second point
From our graph we can get the points (0, 43) and (2, 55), so
,
,
, and
. Let's replace the values in our slope formula:



Now that we have our slope, we can use the point-slope formula:



But remember that the equation of a line in standard form is
, so we need to subtract
and add 43 to both sides of our point slope equation:



We can conclude that the equation in standard form that represent the relationship in the graph is
.
Answer:
8/17≤m≤8 ; [8/17, 8]
Step-by-step explanation:
To solve the inequality you need to isolate the variable in the middle of the inequality.
When you are solving the inequality each operation has to be done to every part of the inequality.
To isolate the m in the middle we need to divide each part by 17.
8≤17m≤136
8/ 17 ≤ 17m/ 17 ≤ 136/ 17
8/17≤m≤8
[8/17,8]
(2*length)+(2*width)=perimeter
length=4+2w
(2(4+2w))+(2(w))=74
74=(8+4w)+(2w)
74=6w+8
66=6w
w=11
length=4+2(11)
l=4+22
l=26