Question

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Answer 1

What is the approximate equation of this line of best fit in slope-intercept form?
y =-7/5x + 14
y = -14x + 7/5
y = -5/7x +14
y = -14x + 5/7

Answer 2

I know we can eliminate B and D since 14 is the y-intercept and the y-intercept is b in the equation y = mx + b but my guess would be C

Answer 3

Huh? o-o

Answer 4

what is "change in y" divided by "change in x"
for example if one point is at (0,14)
and the other point is at (10,x) (as near as I can tell)
what is the slope? any idea ?

Answer 5

*other point is at (10,0)

Answer 6

The slope is (0,14)?

Answer 7

for two points (0,14) and (10,0)
pick out the "y" values (the 2nd number in each pair)
find the difference
then do the same for the x values

Answer 8

(10,14)...?

Answer 9

for two points (0,14) and (10,0) pick out the "y" values (the 2nd number in each pair)
what are the y values ?

Answer 10

14 and 0

Answer 11

now do 14-0 = 14
now pick out the x values. what are they ?

Answer 12

The x values are 10 and 0
10-0 = 10

Answer 13

ok, but you have to keep the same order
(0,14) and (10,0)
if you did 14-0
then you have to do 0-10

Answer 14

10?

Answer 15

0-10 is -10

the slope is 14/-10 which simplifies to - 7/5

Answer 16

Why would it be negative 7?

Answer 17

first, do you see how we get the slope:
change in y is 14-0 or 14
change in x is 0-10 or -10

and
\[ slope = \frac{14}{-10} = - \frac{14}{10} \]
hopefully you know we can do that with the minus sign.
to simplify, divide top and bottom by 2
you get

\[ slope = -\frac{7}{5} \]

Answer 18

in case you did not know, all 3 ways mean the same thing:
\[ -\frac{7}{5} = \frac{-7}{5} = \frac{7}{-5} \]
though usually we use the first way (with the - sign out front)

Answer 19

Oh okay ;u; Thank you so much! Have a wonderful day.