Use the points (2, 14) and (10, 22) to write the equation of the line of best fit shown
1 answer:
Answer:
The equation of the line best fit is y = x + 12
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept
The rule of the slope is m = , where
- (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (2, 14) and (10, 22)
∴ x1 = 2 and y1 = 14
∴ x2 = 10 and y2 = 22
→ Substitute them in the rule of the slope above to find it
∵ m =
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = (1)x + b
∴ y = x + b
→ To find b substitute x by 2 and y by 14 in the equation
∵ 14 = 2 + b
→ Subtract 2 from both sides
∴ 14 - 2 = 2 - 2 + b
∴ 12 = b
→ Substitute it in the equation
∴ y = x + 12
∴ The equation of the line best fit is y = x + 12
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Answer:
.
Step-by-step explanation:
The perimeter of a rectangle is the sum of it's side lengths.
A rectangle has 4 sides where it's opposite sides are congruent.
So if one side has measurement w, then there is another side that has measurement w.
If there is one side that has measurement l, then there is another side that has measurement l.
So if you add w+w+l+l you get 2w+2l.
They are giving us that the perimeter is P, so P=2w+2l.
we are being asking to solve for l.
P=2w+2l
First step: Isolate term that contains the l, so get 2l by itself first.
We are going to subtract 2w on both sides giving us:
P-2w=2l
2l=P-2w
Now that we have 2l by itself it is time to perform the last step in getting l by itself.
Second step: Divide both sides by 2.
This gives us:
l=(P-2w)/2
You may separate the fraction like so:
.
I don't know your options but I have solve for l in terms of P and w
and got .
Please let me know if you have further questions with this problem.