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3 years ago

9

What can I do with a coordinations and the slope

1 answer:

Mnenie [13.5K]3 years ago

7 0

You can plot a linear equation, if you are given the coordinates and the slope for THE SAME line.

Assuming you have those, the first step is to find the y-intercept.

That is done by replacing $x$ and $y$ in the general formula by their coordinated counterparts, and replacing $m$ by the slope that is given to you.

Let's assume the coordinates you are given are $(5,10)$ , and the slope you are given is 1.

By substituting into the general formula...

$y=mx+c\\(10)=(1)(5)+c\\10=5+c\\10-5=c\\c=5$

...we can see that it is possible to find the y-intercept ( $c$ ).

Knowing the y-intercept, it is possible to plot the line and solve any question.

I'll leave a picture of the example used above when graphed.

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A forest fire covers 2006 acres at time t equals 0. the fire is growing at a rate of 8 startroot t endroot acres per hour, where

MissTica

<span>Answer: We'll have to integrate the growth rate with respect to time, without forgetting the amount of area covered at the start. A = 2010 + â« 8t1/2 dt (as t goes from 0 to 24) A = 2010 + [(16/3) t3/2] (as t goes from 0 to 24) A = 2010 + 627 = 2637 acres We don't integrate the 2010 here because whatever effects of the passing of time have already taken place over that area. We just treat it as a constant and add it to the result of integration.</span>

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3 years ago

Use the distributive property to write the next step in simplifying the equation. Use the asterisk symbol (*) to represent multi

Maksim231197 [3]

Given:

The equation is:

$x(4+5)=54$

To find:

The next step in simplifying the equation by using distributive property.

Solution:

Distributive property: According to this property if a, b and c are three real numbers, then

$a(b+c)=ab+ac$

We have,

$x(4+5)=54$

Using the distributive property, we get

$x(4)+x(5)=54$

It can be written as:

$4x+5x=54$

Therefore, the next step of the simplification is $4x+5x=54$ .

5 0

3 years ago

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law

NARA [144]

Answer:

Slope of this line is given by:

<em>Aaron’s rate for mowing lawns is 0.5 acres per hour</em>

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

$x_1=3, y_1=1.5\\x_2=5, y_2=2.5$

Change in x coordinate = $x_2-x_1=5-3 = 2$

i.e. total time taken is 2 hours.

Change in y coordinate = $y_2-y_1=2.5-1.5 = 1$

i.e. total land mowed taken is 1 acre.

In other words, <em>it takes 2 hours for Aaron to mow 1 acre of land.</em>

So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.

<u>Rate of mowing</u> lawn is the <em>land mowed by Aaron in 1 hour</em>.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = $\frac{1}{2}$ acre i.e. 0.5 acre

Also, slope of a line is given as:

$m = \dfrac{y_2-y_1}{x_2-x_1}$

Here $y_2 - y_1 = 1$

$x_2 - x_1 = 2$

As per formula:

$m = \dfrac{1}{2} = 0.5$

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

6 0

3 years ago

Read 2 more answers

Which statement is true about the equation? 3y-6x=-3

Mekhanik [1.2K]

<span>B.When x=-4, y=-9 and when x=2, y=3.

</span><span>3y-6x=-3
3(-9) - 6(-4)= -3
-27 +24 =-3
-3 = -3

</span>
<span>3y-6x=-3
3(3) -6 (2) = -3
9 - 12 = -3
-3 = -3
</span>

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3 years ago

Preston and horation have 49 video games total. Horation has 11 more than preston. How many games does each person have?

Makovka662 [10]

Preston has 19 games and Horation has 30.

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3 years ago