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3 years ago

How do I solve y-intercept problems?

Mathematics

2 answers:

Ilia_Sergeevich [38]3 years ago

6 0

Generally plug 0 in for x and solve for y. whatever y is is your y intercept

IrinaK [193]3 years ago

6 0

Y is the straight lone

You might be interested in

Ac=4 bx=y+4 what is the value of y

Kitty [74]

Ac=4 bx=y+4 doesn't make sense. Perhaps you meant Ac-4bx=y+4. If this is not correct, ensure that you have copied down the original problem correctly.

To solve Ac-4bx=y+4 for y, subtract 4 from both sides of this equation. You'll get:

Ac-4bx-4 = y+4 - 4, or y = ac-4bx - 4.

6 0

3 years ago

A city manager made a scatter plot of the number or retail store in a certain city over the years. the scatter plot had a trend

Fiesta28 [93]

Answer:

155

Step-by-step explanation:

The problem sounds complicated, but it's not. Let's analyse.

The city manager have come up with an equartion y=11x +12, with Y is the total number of the stores and X stands for how long it has been since 2003.

We can't explain how the manager came up with this equation, so iwe don't need to think of if the equation is real or not. Let's just base on what we have.

Because the equation aboce is a trendy line, it means that it would likely to be true with any X ( number of years since 1990).

In Tracy's case, the year is 2003, so it has been 2003 - 1990 = 13 years since 1990. This is the X in the equation. Now we only need to find Y in the equation, which is the number of retail stores there were in 2003, exactly what the problem asks.

y= 11x + 12

=> In Tracy's case: y= 11*13 + 12= 155

So the number of retail stores there were in 2003 was 155

5 0

3 years ago

The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra

ivanzaharov [21]

The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by $\frac{1}{5}$
From term 2 to term 3, there's a decrease also by $\frac{1}{5}$

The rule to find the $n^{th}$ term in a sequence is
$n^{th}=a r^{n-1}$ , where $a$ is the first term in the sequence and $r$ is the ratio

So, the formula for the sequence in question is
$n_{th}$ term = $1000( \frac{1}{5} ^{n-1} )$

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
$S_{∞} = \frac{a}{1-r}$ for -1<r<1
Substituting $a=1000$ and $r= \frac{1}{5}$ we have
$S_{∞}$ = $\frac{1000}{1- \frac{1}{5} }$ = 1250

Hence, the correct option is option number 1

6 0

3 years ago

The value of Peter's house has risen 10% a year for the last 3 years. if the value of Peter's home 3 years ago was $120,000.00,

pickupchik [31]

The answer is $132,000

First you multiply 120,000 by .10 which you get 12,000

Then you just add it and you find the answer

5 0

3 years ago

What is the equation of the line that goes through the points (4,-1) and (2,3)?

Arturiano [62]

Answer:

y = -2x + 7

Explanation:

y = mx + b

m = slope

b = y-intercept

y = a given y coordinate

x = a corresponding x coordinate

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = $\frac{y_2-y_1}{x_2-x_1}$ = $\frac{3-(-1)}{2-4}$ = $\frac{4}{-2}$ = -2

plug in the values to the equation y = mx + b

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

y = -2x + 7

5 0

3 years ago