Mathematics, 14.07.2019 15:00 avalonr2003

The graph of an equation is shown below: line joining ordered pairs negative 2, negative 3 and 2,3 based on the graph, which of the following represents a solution to the equation? a (−2,−3) b (2, 1) c (1, 2) d (−3, −2) 

Answers: 1

Show answers

Answers

Answer from: tottresstrinity

(-2,-3)

Step-by-step explanation:

Let

A(-2,-3), B(2,3)

Find the slope of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{3+3}{2+2}$

$m=\frac{6}{4}$

m=1.5

Find the equation of the line

y-y1=m(x-x1)

With m and the point A

y+3=1.5(x+2)

y=1.5x

If a ordered pair is a solution of the linear equation, then the ordered pair must be satisfy the linear equation

case A) (-2,-3)

Is a solution because represent the point A

Substitute the values of x and y in the linear equation

-3=1.5(-2)

-3=-3 ------> the ordered pair is a solution of the linear equation

case B) (2,1)

Substitute the values of x and y in the linear equation

1=1.5(2)

$1\neq 3$ ------> the ordered pair is not a solution of the linear equation

case C) (1,2)

Substitute the values of x and y in the linear equation

2=1.5(1)

$2\neq 1.5$ ------> the ordered pair is not a solution of the linear equation

case D) (-3,-2)

Substitute the values of x and y in the linear equation

-2=1.5(-3)

$-2\neq -4.5$ ------> the ordered pair is not a solution of the linear equation

Answer from: SmokeyRN

only (a) is the solution of the graph.

Step-by-step explanation:

Given : The graph of an equation is shown line joining ordered pairs (-2,-3) and (2,3).

We have to find out of the given options which represents a solution to the equation.

To find which represents a solution to the equation we first find the equation of line

General equation of line is y = mx + c , where m is slope of line and c is y- intercept.

Slope of line m is calculated as $m=\frac{y_2-y_1}{x_2-x_1}$

Thus, slope of given line is

$(x_1,y_1)=(-2,-3)\\\\(x_2,y_2)=(2,3)$

Then slope is $m=\frac{3-(-3)}{2-(-2)}=\frac{3}{2}$

Thus, slope of line is $m=\frac{3}{2}$ ,

Equation becomes,

$y=\frac{3}{2}x+c$

On solving, we get,

2y=3x+2c

To find c , Put (2,3) in Equation 2y = 3x + 2c , we get,

⇒ 2(3) = 3(2) + 2c

⇒ 6 = 6 + 2c

⇒ c = 0

Thus, equation of line is $y=\frac{3}{2}x$ .

Now we plot the graph of the equation, we get as attached and check those points lies on the equation are the solution.

Thus, only (a) is the solution of the graph.

The graph of an equation is shown below: line joining ordered pairs negative 2, negative 3 and 2,3

Answer from: Quest

hello, never fear papaguy is here!

c. histogram

step-by-step explanation:

Answer from: Quest

the answer is

28 ft2

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 18:00

My math teacher told my class to "steal" a 6th grade fraction word problem from the internet, word problems? : -p requirements: only a 1 step word problem. needs to be complex.

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

Ateam has p points. p = 3w + d w = wins d = draws a) a football team has 5 wins and 3 draws. how many points does the team have?

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

40) linda was making chocolate truffles for the first day of school. the recipe for 20 chocolate truffles is: i cup of cream 2 cups of dark chocolate she noticed this will not be enough truffles for the 42 sure that all students in each homeroom next year. to be sure that all students receive a truffle, linda must adjust her recipe. a. complete the recipe for 42 truffles cups of cream - cups of dark chocolate work:

Answers: 2

Answer

Mathematics, 21.06.2019 21:30

The map shows the location of the airport and a warehouse in a city. though not displayed on the map, there is also a factory 112 miles due north of the warehouse.a truck traveled from the warehouse to the airport and then to the factory. what is the total number of miles the truck traveled?

Answers: 3

Answer

You know the right answer?

The graph of an equation is shown below: line joining ordered pairs negative 2, negative 3 and 2,3...

Questions