What is the slope-intercept form of the Function described by this table?

1 answer:

3 0

Y= kx+b, k-slope, b-intercept
so
2=k*1+b
7=k*2+b
12=k*3+b
17=k*4+b

solve these two equation:
2=k*1+b
7=k*2+b
second minus first is 7-2=2k-k+b-b
5=k,
so we know k=5
put this in any equation 2=5*1+b
b=2-5
b=-3

check this in
12=5*3-3 - right
17=5*4-3 - right

Answer: y=5x-3

You might be interested in

What is the simplified radical of 145?

luda_lava [24]

The radical is 145 because no squares can divide into it

5 0

4 years ago

Read 2 more answers

Can someone please answer this question please answer it correctly and lease show work please help me I need it

attashe74 [19]

Answer:

Step 2

Step-by-step explanation:

$3-(-5)-7\\=3+5-7\\=3-2\\=1$

3 0

4 years ago

Help solving this math question

olga_2 [115]

22. B) $65,000,000 per year.

23. B) Education.

Step-by-step explanation:

Step 1; To find the average rate of change in annual budget between the two given years. We divide the difference in values for the two years by the period in between the two years. In 2008, the budget was $358,708,000 while in 2010 it was $488,106,000. The period in between was 2 years i.e 2009 and 2010.

The average rate of change = $\frac{488,106,000-358,708,000}{2}$ = $\frac{129,398,000}{2}$ = $64,699,000 per year.

So the average rate of change was $64,699,000 which approximately equals option B. $65,000,000.

Step 2; To find the human resources program's 2007 to 2010 ratio we divide the value in 2007 to the value in 2010. To find the other similar ratio, we divide the value in 2007 to the value in 2010 for all the other programs and determine which is closest to the human resources program.

Human resources program ratio = $\frac{4,051,050}{5,921,379}$ = 0.6841,