Question

What is the equation of the trend line? (Round the slope to the nearest hundredth.)



A.
y = −1.38x + 10

B.
y = −0.73x + 10

C.
y = −5.50x + 10

D.
y = −0.18x + 10

Answer 1

You would draw a triangle, and use m=y/x

you would work out the height of the vertical line, and divide that height by the height of the horizontal line

in your case

m=10/13.5

Answer 2

So what would the answer be? @amorfide

Answer 3

i just gave you the answer, use your calculator

Answer 4

it gave me 0.74? thats not in the answer choices though

Answer 5

use the 2 sets of points given in the graph to find the slope
slope formula : slope(m) = (y2 - y1) / (x2 - x1)
(0,10)....x1 = 0 and y1 = 10
(11,2)...x2 = 11 and y2 = 2
now we sub
slope(m) = (2 - 10) / (11 - 0)
slope(m) = -8/11 = - 0.727 rounded = -0.73

now use y = mx + b
slope(m) = -0.73
use either of your points (0,10)
y = mx + b
10 = -0.73(0) + b
10 = b

so your equation is : y = -0.73x + 10

Answer 6

do you have any questions at all ?

Answer 7

nope that was super helpul! thanks so much!!

Answer 8

*helpful

Answer 9

:)

Answer 10

#1, 10 and 14 are not that far apart. This rules out C and D immediately.
#2, It's obviously negative. Unfortunately, they all are.
#3,
10/14 = 0.71
14/10 = 1.40
So, both A and B are still plausible.
#4, Slope is Rise/Run, so we're going to have to go with B.

The real difficulty, here, is the lack of complete information. While (11,2) is labeled, it's not clear it's actually on the line. @texaschic101 assumed it was on the line. That may be a reasonable assumption. @amorfide was assuming the x-intercept was 13.5. I was using 14. Both are reasonable approximations to an actually unknown value.

Sometimes, judgment is called for. Okay, all the time!

Answer 11

Thanks for the explanation! you g=two are really helpful

Answer 12

*two GAH why can't i spell today?!