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Kipish [7]
1 year ago
11

Identify the slope and y-intercept of the line whose equation is given. write the y-intercept as an ordered pair. y = negative 2

x + 5 a. slope = negative 2; y-intercept (0, 5) b. slope = 2; y-intercept (0, 5) c. slope = 5; y-intercept (0, 2) d. slope = negative 5; y-intercept (0, 2) please select the best answer from the choices provided a b c d
Mathematics
1 answer:
PSYCHO15rus [73]1 year ago
3 0

The line having the equation, y = -2x + 5, has a slope = -2, and y-intercept = (0, 5). Thus, <u>option A</u> is the best choice.

The slope of a line is the tangent of the angle that the line makes with the positive side of the x-axis.

The y-intercept of a line is the point at which the line intersects the y-axis.

The standard form of a line is <u>y = mx + b</u>, where m represents the slope of the line, and b represents its y-intercept.

In the question, we are asked to identify the slope and the y-intercept of the line whose equation is y = -2x + 5.

Comparing the given equation of the line, y = -2x + 5, with the standard equation of a line, y = mx + b, we can say that,

m = -2, and b = 5.

Representing b as an ordered pair, we get (0, 5), as b represents the y-intercept which is a point on the y-axis, where the x-coordinate is always equal to zero.

Thus, we get the slope = -2, and the y-intercept = (0, 5).

The option representing the answer is <u>option A</u>.

Learn more about the slope and the y-intercept of a line at

brainly.com/question/1479018

#SPJ4

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Julia's service charge at a beauty salon was $72.60, before tax. The sales tax rate was 8%. If she added 20% of the amount befor
Ivan
Service charge for Julia at a beauty salon = $72.60
The rate of sales tax taken = 8%
Percentage of tips she added to the service charge before sales tax = 20%
Then amount of tips given by Julia = (20/100) * 72.60
                                                       = (1/5) * 72.60
                                                       = 14.52 dollars
Then the amount in total paid by Julia before adding service tax = (72.60 + 14.52) dollars
                                                                                                      = 87.12 dollars
Now the sales tax of 8% has to be calculated on the amount of $87.12.
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Amount of sales tax given by Julia = (8/100) * 87.12
                                                       = 696.96/100
                                                       = 6.969
                                                       = 6.97 dollars
So the total amount paid by Julia for the service at the salon = (87.12 + 6.97) dollars
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Julia paid a total of $94.07 for the service she received at the salon.

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