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

The point   is a solution of the linear equation

Step-by-step explanation:

we have

Find the equation of the line AB

The slope of the line is equal to

substitute the values

Find the equation of the into point-slope form

we have

substitute

we know that

If a point is a solution to the equation of the line

then

the point must be satisfy the equation and based on the graph the point must be on the line

Let's check every point.

case A) point

Substitute the value of x and y in the equation of the line

-------> is not true

The point   is not a solution of the linear equation

See the attached figure-------> the point is not on the line

case B) point

Substitute the value of x and y in the equation of the line

-------> is not true

The point   is not a solution of the linear equation

See the attached figure-------> the point is not on the line

case C) point

Substitute the value of x and y in the equation of the line

-------> is  true

The point   is a solution of the linear equation

See the attached figure-------> the point is on the line

case D) point

Substitute the value of x and y in the equation of the line

-------> is not true

The point   is not a solution of the linear equation

See the attached figure-------> the point is not on the line

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2