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zavuch27 [327]
2 years ago
13

What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)

Mathematics
1 answer:
BigorU [14]2 years ago
4 0

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

Thus, the equation is of the form:

y = - \frac {3} {2} x + b

We substitute one of the points and find "b":

-4 = - \frac {3} {2} (4) + b\\-4 = - \frac {12} {2} + b\\-4 + 6 = b\\b = 2

Finally, the equation is of the form:

y = - \frac {3} {2} +2

ANswer:

y = - \frac {3} {2} +2

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a company makes $10 000 in 2017. The projection of profit increase is fixed 40% from the previous year. Predict the company prof
cestrela7 [59]

Answer:

19600

Step-by-step explanation:

For every year the profit increases by 40% so to figure out the profit from 2017 to 2018 you do 10,000*1.4 to and get 14,000. To get 2019's profit you do the same process, but use 2018's profit of 14,000 instead of 2017's profit to get 19,600.

6 0
3 years ago
james tailoring service charges a flat rate of $20 and charges an additional $12 per hour when making a tailored suit. how much
jeka94

Answer:

It will cost Mr. Smith $68 to make his suit.

Step-by-step explanation:

Since the charge $12 per hour, and it takes 4 hours to make the suit, then we need to multiply 12 by 4.

12 × 4 = 48

Now we need to add the flat rate since that is the initial charge for service.

48 + 20 = 68

This means it will cost Mr. Smith a total of $68 for his suit.

8 0
3 years ago
Find the area of a right triangle with a<br>height of 8 1/2 feet and a base of 15 feet,​
slamgirl [31]

Answer:

The area is 63.75 feet square

Step-by-step explanation:

Formula for area of a triangle is 1/2 × base × height

And we are given each of this variables in the question above

Therefore you just have to input those values to the formula

1/2×17/2×15

255/4

=63.75

Therefore the area of the triangle is 63.75 feet square

5 0
3 years ago
By estimating the line of best fit which value is the best estimate for how many cars will be sold tomorrow
Tasya [4]

Answer: 30

Step-by-step explanation: when you look at the x value of 9, the y value on the best fit line would be 30

7 0
2 years ago
Read 2 more answers
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=21°, and GH = 31 feet. Find the length of IG to the nearest tenth of a foot.
Vilka [71]

Answer:

IG=28.9\ ft

Step-by-step explanation:

we know that

In the right triangle GHI

cos(G)=\frac{IG}{GH} ----> by CAH )adjacent side divided by the hypotenuse)

substitute the given values

cos(21^o)=\frac{IG}{31}

solve for IG

IG=cos(21^o)(31)=28.9\ ft

see the attached figure to better understand the problem

7 0
3 years ago
Read 2 more answers
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