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topjm [15]
3 years ago
6

The equation y-1=-7(x-3) is written in point-slope form. What is the y-intercept of the line?

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
5 0

For this case we have that, the equation of the line in slope intercept form is given by:

y = mx + b

Where:

m is the slope

b is the cut point with the y axis

If we have:

y-1 = -7 (x-3)

We take it in the form y = mx + b we have:

Knowing that - * - = + and applying distributive property to the terms of the parenthesis:

y = -7x + 21 + 1\\y = -7x + 22\\So,\ b = 22

Answer:

Option D


Sphinxa [80]3 years ago
3 0
It's maybe 22 ,(-_-メ)

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Equation for ( 6, 13) ( 7900, 5 )
tia_tia [17]

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

y=mx+b

Where:

m: It is the slope of the line

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

We have the following points through which the line passes:

(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}

Thus, the equation of the line is of the form:

y = - \frac {4} {3947} x + b

We substitute one of the points and find b:

13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}

Finally, the equation is:

y = - \frac {4} {3947} x + \frac {51335} {3947}

Answer:

y = - \frac {4} {3947} x + \frac {51335} {3947}

5 0
3 years ago
Write this ratio 1:3.5 in the form p:q where p and q are whole numbers
Orlov [11]

We have to express the ratio 1 : 3.5 in the form p:q where p and q are whole numbers.

Consider the ratio of 1 and 3.5,

1 : 3.5 = \frac{1}{3.5}

= \frac{10}{35}

Reducing the above fraction to its lowest form.

So, we get \frac{10}{35}=\frac{2}{7}

Therefore, the ratio 1 : 3.5 is expressed as \frac{2}{7}

where 2 and 7 are the whole numbers.

4 0
3 years ago
A group of students and workers entering a metro station were asked whether they were riding the bus or the subway. The two-way
BaLLatris [955]
Because this is a two-way table, the answer would be that 166 people were polled in total. Why? Well, there are lots of corresponding patterns leading up to this answer. We can easily find the answer by looking at the problem two different ways:

1st way: Identifying the missing solution by rows.

27 + 21 = 48 and 42 + 76 = 118, so we can find the missing value by adding 69 and 97 to get 166.

2nd way: Identifying the missing solution by columns.

27 + 42 = 69 and 21 + 76 = 97, so we can find the missing value by adding 48 and 118 to get 166, our missing solution.

Your final answer: 166 people were polled. Your answer would be D. If you need to better understand this, let me know and I will gladly assist you.
4 0
2 years ago
Read 2 more answers
On a math test , you scored 69 out of a total of 75 points. what percent did you get?
topjm [15]
92% You would divide 69 by 75 then multiply by 100
3 0
3 years ago
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Jenna buys 12 lb of meat. Some of the meat is chicken and costs $1.90/lb. The rest is beef, which costs $4.30/lb. She spends a t
Softa [21]
If the number of pounds of chicken is represented by c, then the number of the pounds of beef is 12 - c. The equation that best represent the given conditions above based on the total amount that Jenny spent is,
                              1.9c + 4.3(12 - c) = 34.8
The answer is letter D. 
8 0
3 years ago
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