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ElenaW [278]
3 years ago
11

HELP! I am confused since the -5 was added, so would it be the slope or would -7 be the slope?

Mathematics
1 answer:
In-s [12.5K]3 years ago
5 0

Answer:

slope = 35; y-intercept = -45

Step-by-step explanation:

Function f(x) is written in the slope-intercept form, y = mx + b.

f(x) = -7x + 9

You compare it with

f(x) = mx + b, and you see that m, the slope, is -7, and b, the y-intercept is 9.

Now we deal with function h(x).

h(x) = -5(-7x + 9)

This is not written in the y = mx + b form, but we can put it in that form by distributing the -5.

h(x) = 35x - 45

Now, h(x) is written in the y = mx + b form. We see clearly that m = 35, so the slope of function h is 35. We also see that b, the y-intercept is -45.

Answer: slope = 35; y-intercept = -45

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Use the linear slope formula to solve for m: 

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using the points (-1,1) and (1,5) you can find the slope for the first interval:
 
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you can double check by using the same formula on the second interval, which is (1,5) to (3,9).

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therefore, the rate of change is 2. 
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