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Elanso [62]
3 years ago
14

Write the linear equation between the points: (-4, 5) and (0, -2)

Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

Hey there!

Slope: 7-3/1-(-1), which is equal to 4/2, or 2.

Point slope: y-7=2(x-1)

So choice B is correct.

Step-by-step explanation:

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Help on math please, thanks
iVinArrow [24]
The answer is C. (2, -8)

I hope this helps!!!

3 0
4 years ago
In algebra, we often study relationships where a change to one variable causes change
bearhunter [10]

A familiar situation describing where one quantity changes constantly in relation to another quantity is: <em><u>the amount you pay as </u></em><em><u>cost </u></em><em><u>for buying gas at a gas station in relation to the </u></em><em><u>quantity of gas</u></em><em><u> you buy.</u></em>

<em><u /></em>

The two quantities, <em><u>(</u></em><em><u>cost </u></em><em><u>and </u></em><em><u>quantity </u></em><em><u>of gas) are </u></em><em><u>directly proportional</u></em>.

When you represent the relationship of cost of gas and quantity of gas on a graph, you will have: a proportional graph with cost ($) on the y-axis and quantity of gas (gallons) on the x-axis.

<em>(see attachment for how the </em><em>graph </em><em>will look like.)</em>

<em><u>There are usually two </u></em><em><u>variables</u></em><em><u>: </u></em>

  • Independent variable which causes the change.

  • Dependent variable which responds to the change caused by the independent variable.

A situation where one quantity (dependent variable) changes constantly in relation to another quantity (independent variable) is a situation of the amount you pay at a gas station for filling your car with a certain quantity of gallons of gas.

The two quantities are directly proportional to each other.

<em>That is:</em>

  • The cost of gas in dollars (independent variable) is directly proportional to the quantity of gas in gallons (dependent variable).

  • As the quantity of gas increased in gallons, there would be equal increase in the cost of gas in dollars you would pay.

If we are to represent this on a graph, the graph will be a straight line graph showing a proportional relationship between cost of gas (on the y-axis) and quantity of gas (on the x-axis)

<em>(see the image in the attachment below).</em>

<em>Therefore:</em>

  • A familiar situation describing where one quantity changes constantly in relation to another quantity is: <em><u>the amount you pay as </u></em><em><u>cost </u></em><em><u>for buying gas at a gas station in relation to the </u></em><em><u>quantity of gas</u></em><em><u> you buy.</u></em>

<em><u /></em>

  • The two quantities, <em><u>(</u></em><em><u>cost </u></em><em><u>and </u></em><em><u>quantity </u></em><em><u>of gas) are </u></em><em><u>directly proportional</u></em>.

  • When you represent the relationship of cost of gas and quantity of gas on a graph, you will have: a proportional graph with cost ($) on the y-axis and quantity of gas (gallons) on the x-axis.

<em>(see attachment for how the </em><em>graph </em><em>will look like.)</em>

Learn more here:

brainly.com/question/6869319

4 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
Setler [38]

Answer:

free

Step-by-step explanation:

7 0
3 years ago
What is te factorization of the expression below 9x^2-4y^2
ololo11 [35]

The factorization of the expression 9 x^{2}-4 y^{2}  is (3x+2y) (3x-2y).

<u>Solution: </u>

In the expression 9 x^{2}-4 y^{2}, 9 x^{2}  can be written as (3 x)^{2}  . Similarly 4 y^{2}  can be written as (2 y)^{2}  

9 x^{2}-4 y^{2}=(3 x)^{2}-(2 y)^{2}

Since both terms (3 x)^{2}  and (2 y)^{2} are perfect squares, using the difference of squares formula,

a^{2}-b^{2}=(a+b)(a-b)

Here a = (3x) and b = (2y)

(3 x)^{2}-(2 y)^{2}=(3 x+2 y)(3 x-2 y)

(3x+2y)  and  (3x-2y)  are the factors of 9 x^{2}-4 y^{2}

7 0
4 years ago
Determine whether the relation is a function {(6,5),(-1,-3),(2,-1),(5,-6)}
8_murik_8 [283]
The relation is a function because there are no same x values.
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