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3 years ago

Find the slope of the line passing through the points of (3,-5) and (-9,-6)

Mathematics

1 answer:

slavikrds [6]3 years ago

5 0

Answer:

m = ---

Step-by-step explanation:

The formula is y2-y1

---------

x2-x1

(x1,y1) (x2,y2)

(3,-5) (-9,-6)

You get the 2 Y's and subtract them

Do the same with the X's

Y's above , X's below

(y2- y1)

⬇

-6-(-5) -1 1

--------- = ---- = ---- = m

-9-(3) -12 12

⬆

(×2- x1)

This equation is backwards, thats why it was harder to understand. (-9,-6) is farther left and below point (3,-5), making it the REAL first point in the equation.

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Answer:

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Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

$f(x)=mx+b$

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

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Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

$c = mx+b$