Find the slope of the line graphed below.

Mathematics

1 answer:

svlad2 [7]2 years ago

3 0

Answer:

Therefore the Slope of the line is

$Slope=-\dfrac{3}{5}$

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 1 , -5)

point B( x₂ , y₂ )≡ (-4 , -2)

To Find:

Slope of Line AB =?

Solution:

Slope of line between Two points is given as

$Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Substituting the values we get

$Slope=\dfrac{-2-(-5)}{-4-1}=\dfrac{3}{-5}$

Therefore the Slope of the line is

$Slope=-\dfrac{3}{5}$

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for your career project, you plan to design ans sell t-shirts. During the first 5 weeks of selling the shirts, the functions f(s

stepladder [879]

Using translation concepts, we have that:

The new profit equation is f(x) = (8s/3) - 20, which is a vertical stretch by a factor of 2 of the graph of f(s).

Selling 300 shirts, the new profit is of $780.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the profit function is given by:

f(s) = 4/3s - 20

To double the function, we multiply the slope by 2, hence the new profit equation is:

f(s) = 8/3s - 20.

This new function is a vertical stretch by a factor of 2 of the graph of f(s).

The new profit selling 300 shirts is given by:

f(300) = (8/3) x 300 - 20 = 8 x 100 - 20 = $780.

More can be learned about translation concepts at brainly.com/question/28373831

#SPJ1

4 0

1 year ago

I've been working on the same 5 questions for 3 hours and i give up im doing anything i can at this point