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Degger [83]
3 years ago
6

What is the equation for the line

Mathematics
1 answer:
Pavel [41]3 years ago
6 0
The model equation for any line is
y = mx + b,
where m is slope and b is y-intercept (where the line intersects the y-axis).

The slope is change in y over change in x. You can find the slope by picking two points. The numerator will be the difference in y-coordinates, and the denominator will be the difference in x-coordinates.
As an equation, this is
slope = \frac{y2-y1}{x2-x1},
where the two points are (x1, y1) and (x2, y2).

Let's pick two points to find the slope: (0, 5) and (3, -7).
The slope is 
\frac{-7-5}{3-0} = \frac{-12}{3} = -4

Now that we have the slope m = -4, we need to find the y-intercept b. The line crosses the y-axis at 5, so b = 5.

The equation is y = -4x + 5
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Jerry bought a coat on sale for 30% off. The sale price for the coat was $63, what is the regular price for the coat?
NNADVOKAT [17]

Answer:

The original regular price for the coat is $90

Step-by-step explanation:

The given information in the question are;

The percentage that was off (removed) from the sale price = 30%

The sale price at which Jerry bought the coat = $63

Whereby the regular price = P, we have;

P - 30% of P = $63

P - 0.3×P = $63

P×(1 - 0.3) = $63

0.7·P = $63

P = $63/0.7 = $90

Therefore, the regular (original) price for the coat = $90

The coat regular price at which the coat is displayed is at $90.

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3 years ago
A gas station charges $2.19 per gallon of gas. Use function notaion to describe the relationship between the total cost C(g) and
mr Goodwill [35]
For every gallon i would spend 2.19$
3 0
3 years ago
What is 16% of 750?
alisha [4.7K]

Answer:

120

Step-by-step explanation:

For this, all we have to do is multiply 750 by 16%. We know, from percent to decimal conversion, that 16% is 0.16 (divide the percent by 100 to convert to a decimal). From there, if we multiply 750 by 0.16, we get our answer to be 120

8 0
2 years ago
Read 2 more answers
The set of all positive integers that are divisible by both 15 and 35 is infinite. What is the least positive integer in this se
solniwko [45]

Answer:

105

Step-by-step explanation:

A "set" is a group of numbers.

A "positive integer" is a whole number that's bigger than zero.

"divisible by both 15 and 35" means a number that 15 and 35 goes into (with no remainder)

"least" means smallest.

15 and 35 both go into 105.

3 0
2 years ago
The price of an Item has been reduced by $5.09. The new sale price is $41.03. What was the original price?
Orlov [11]

Answer:

the original price was $46.12

Step-by-step explanation:

if you add 5 back to that number.

8 0
2 years ago
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