BioHazard9064 one year ago Help

1. BioHazard9064

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

2. anonymous

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

3. BioHazard9064

How would I do that?

4. anonymous

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 $\large \bf m~=~\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

5. BioHazard9064

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

6. anonymous

What is $$\large \bf x_{1}$$ ?

7. BioHazard9064

2?

8. anonymous

Yeah. So what would the others be?

9. BioHazard9064

y1 would be 1 x2 whould be 3 and y2 yould be 3?

10. anonymous

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

11. BioHazard9064

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

12. anonymous

Correct. Which would simplify to?

13. BioHazard9064

2,1?

14. anonymous

$\large \bf m~=~\frac{2}{1}~=~2$

15. BioHazard9064

ok

16. BioHazard9064

I get that part now

17. anonymous

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?

18. BioHazard9064

A

19. anonymous

$\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?

20. BioHazard9064

No

21. anonymous

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

22. BioHazard9064

B is out cause they aren't equal

23. anonymous

Yep.

24. BioHazard9064

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

25. anonymous

Correct :)

26. BioHazard9064

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

27. anonymous

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