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mestny [16]
3 years ago
5

There is a line whose slope is 7 and whose y-intercept is -5. why is it's equation in slope-intercept form?​

Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

y = 7x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = 7 and c = - 5, then

y = 7x - 5 ← equation of line

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Step-by-step explanation:

7 0
3 years ago
A given line has the equation 2x + 12y = −1.
balu736 [363]

Answer:

Step-by-step explanation:

Perpendicular lines have slopes that are opposite reciprocals of each other.  In order to write the equation of a line perpendicular to the one given, we need to find the slope of the given line and then take the opposite reciprocal of it.  The current form the line is in does not give us a clear idea of what the slope is.  We will first put the given line into slope-intercept form (right now it's in standard form, which is not helpful for anything at all!).  Solving the given equation for y:

12y = -2x - 1 and

y=-\frac{1}{6}x-\frac{1}{12} (notice I reduced the slope's fraction from -2/12)

That means that the slope of the given line is -1/6.  So the perpendicular slope is positive 6/1 or just 6.  

Using that slope and the given point in point-slope form to write the equation:

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There you go!

6 0
3 years ago
Mrs. Long just got a new puppy! The puppy is learning how to run on hard wood floors. The puppy is running at a rate if 4 feet p
Igoryamba

Answer:

Points apply to the given situation:

(a)The puppy will run into the wall after 5 seconds

(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second.

(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.

Step-by-step explanation:

We have given,

A puppy is running at a rate = 4 feet per second

A wall is 20 feet away from puppy. That means initially puppy is 20 feet away from the wall.

So, time taken by puppy to reach the wall =

i.e. time take by puppy to reach the wall =  = 5 seconds

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(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.

6 0
3 years ago
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hichkok12 [17]

Answer:

  • You do it yourself jk
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