Question

Help

Answer 1

The equation below represents Function A and the graph represents Function B:

Function A

f(x) = -2x + 1

Function B

graph of line going through ordered pairs negative 1, negative 5 and 2, 1 and 3, 3

Which equation best compares the slopes of the two functions?

Slope of Function B = 2 × Slope of Function A.
Slope of Function A = Slope of Function B
Slope of Function A = 2 × Slope of Function B
Slope of Function B = - Slope of Function A

Answer 2

Find the slope of the second one with \[\large \bf m~=~\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Answer 3

How would I do that?

Answer 4

Choose two sets of coordinates. For example, (2,1) and (3,3). \[\large \bf (2,1)~=~(x_{1},y_{1})\]\[\large \bf (3,3)~=~(x_{2},y_{2})\] Now plug them into the formula \[\large \bf m~=~\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Answer 5

how ?sorry Im really bad I missed this in school thats why I got to do it now

Answer 6

What is \(\large \bf x_{1}\) ?

Answer 7

2?

Answer 8

Yeah. So what would the others be?

Answer 9

y1 would be 1

x2 whould be 3 and y2 yould be 3?

Answer 10

Correct. Now can you plug those points into the formula now? \[\large \bf m~=~\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Answer 11

3 - 1
m=--------------
3 - 2

Answer 12

Correct. Which would simplify to?

Answer 13

2,1?

Answer 14

\[\large \bf m~=~\frac{2}{1}~=~2\]

Answer 15

ok

Answer 16

I get that part now

Answer 17

So the slope of Function A is -2 and the slope of Function B is 2. So which of the answer choices would make sense?

Answer 18

A

Answer 19

\[\bf Slope~of~function~A~=~-2\]\[ \bf Slope~of~function~B~=~2\] So answer choice A is saying \[\large \bf 2~=~-2 \times 2\] Does that sound right?

Answer 20

No

Answer 21

So answer choice A can't possibly be correct. Now then, it has to be B, C or D.

Answer 22

B is out cause they aren't equal

Answer 23

Yep.

Answer 24

So then D looks the best because its saying B = - A

Answer 25

Correct :)

Answer 26

thanks for showing me how to do it instead of just the answer

Answer 27

\[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]