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3 years ago

Write the equation in slope intercept form that passes through (-5,10) and (2,4)

Mathematics

1 answer:

balu736 [363]3 years ago

8 0

Answer:

$\displaystyle y = -\frac{6}{7}x + 5\frac{5}{7}$

Step-by-step explanation:

First, find the rate of change [slope]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-10 + 4}{5 + 2} = -\frac{6}{7}$

Now plug these coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:

4 = −6⁄7[2] + b

−1 5⁄7

$\displaystyle 5\frac{5}{7} = b \\ \\ y = -\frac{6}{7}x + 5\frac{5}{7}$

_______________________________________________

10 = −6⁄7[−5] + b

4 2⁄7

$\displaystyle 5\frac{5}{7} = b \\ \\ y = -\frac{6}{7}x + 5\frac{5}{7}$

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

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PLEASE HELP I WILL GIVE BRAINLEST

nadya68 [22]

OK. All the work is in the attached drawing.

Please spend enough time with it to understand what was done and how, so that you can do the next problem like this one completely on your own.

Good luck !

==============================

Here's a picky pickypoint to think about concerning the "cost". I'm not quite sure what to do about this:

The initial, one-time $55 is a "deposit". If she doesn't smash the bike or steal it, she gets the $55 back when she returns the bike.

So if she eventually gets the $55 back, is it a cost ? ? I don't know how to think about it.

She does need to give them the $55 at the beginning, just to take the bike out. So she has to have it with her and give it to them temporarily, even though she'll get it back, and she'll still have it when she returns home.

So here's the story:

-- While she HAS the bike, the graph correctly shows all the money she needs, in order to get the bike, and keep it for however long she keeps it.

-- Finally, at the end of the week, after she returns the bike and gets her $55 back, the line and everything on the graph will shift down by $55. The line will start at zero, and the little red ordered pairs will also shift straight down and still be on the line.

To put it one more way:

-- While Jen has the bike, the y-intercept of the graph is $55.

-- After she returns the bike in good condition, the y-intercept is zero.

6 0

3 years ago

mary lou is twice geoge's and kate is two years younger than george the sum of all of their ages is 46 how old is everyone

saw5 [17]

Answer:

George is 12, Mary Lou is 24 and Kate is 10.

Step-by-step explanation:

To find these, start by setting George's age as x. This means that we can model Mary Lou's age as 2x, since she is twice as old. We can also model Kate's age as x - 2 since she is two years younger. Now we can add these 3 together and set equal to 46

x + 2x + x - 2 = 46

4x - 2 = 46

4x = 48

x = 12

This means that George is 12.

Mary Lou = 2x

Mary Lou = 2(12)

Mary Lou = 24

Kate = x - 2

Kate = 12 - 2

Kate = 10

3 0

4 years ago

Read 2 more answers

If one bag of grass seed will cover 225 square feet, what is the minimum number of bags the haney family will need to cover thei

Veronika [31]

Answer:

9 bags

Step-by-step explanation:

First we will need to calculate the area of their entire backyard, which has a shape of trapezium.

So the formula for the area of a trapezium is $A=\frac{(a+b)*h}{2}$

a and b are the lenghts of the parallel sides and h is the height.

From the picture $a=10*5=50\\b=9*5=45\\h=8*5=40$

Then we plug into our formula

$A=\frac{(a+b)*h}{2} =\frac{(50+45)*40}{2} = 1200$ square feet

To get the number of bags required we just simply divide the aree of their entire yard by the space that 1 bag covers. We get:

$\frac{1900}{225} =8.444...$ bags

This is more than 8 bags so they will need 9 bags to cover their entire yard.

8 0

3 years ago

Ines has saved $5. She doubles the amount she saves each week. Does the function have a constant difference or a constant ratio?

salantis [7]

Answer:

The function have a constant ratio

No, it does not represent an exponential function.

Step-by-step explanation:

As given,

Ines has saved $5. She doubles the amount she saves each week.

⇒ In first week she saved = $5

In second week she saved = 2×$5 = $10

In third week she saved = 2×$10 = 20

In fourth week she saved = 2×$20 = 40

and so on..

∴ we get the series

5, 10, 20, 40 ,.......

If the series is given as a, b, c, d, ..... , then

The common difference is defined as d = b-a = c-b

The common ration is defined as r = $\frac{b}{a} = \frac{c}{b}$

Here, in the given question

The series is - 5, 10, 20, 40

This has no common difference , d = 10 - 5 (= 5 )≠ 20 - 10 (= 10)

As 5 ≠ 10

So the function does not define common difference .

Now,

This has common ratio , r = $\frac{10}{5} (=2) = \frac{20}{10}(=2)$

As 2 = 2

So, the function represent common ratio

Now,

The function does not represent an exponential function because it is increased by common ratio.

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3 years ago

Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the s

lana66690 [7]

Before you will sum up the following equation, first you must multiply the first equation by two and came up with 16x+14y=78 and then add it to the second equation which is 4x-14y=-68 and the remaining variable is 20x=10 then get the value of X and the value is 1/2 or 0.5. I hope you are satisfied with my answer

4 0

3 years ago

Read 2 more answers