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4 years ago

Which equation is in standard form and represents a line with slope 5 through the point (o, 2)?

Mathematics

1 answer:

NemiM [27]4 years ago

3 0

Answer:

5x - y = - 2

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

First obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

here m = 5 and the line passes through (0, 2) ⇒ c = 2

y = 5x + 2 ← in slope- intercept form

Subtract y from both sides

0 = 5x - y + 2 ( subtract 2 from both sides )

5x - y = - 2 ← in standard form

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3 years ago

Which algebraic expression represents "the difference of 54 and a number"?

atroni [7]

$\huge{\boxed{54-x}}$

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3 years ago

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14 pints

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3 years ago

The following graph represents the distance a commercial airplane travels over time, at cruising speed and an altitude of 35,000

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Answer:

see the explanation

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

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$y=567x$

Part 1 :

The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.

Part 2 :

The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours

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4 years ago

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Answer:

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3 years ago