contestada

Which equation represents the graphed line?
ty
4
2
х
6
o
2
4
Oy- 1 =-2(x-3)
Oy- 1 =-2/x+3)
O y+ 1 =-2(x-3)
O y+ 1 =-21x +3)

Which equation represents the graphed line ty 4 2 х 6 o 2 4 Oy 1 2x3 Oy 1 2x3 O y 1 2x3 O y 1 21x 3 class=

Respuesta :

Answer:

y-1=-2(x-3)

Step-by-step explanation:

MrRoyal

Linear equations are used to represent straight lines.

The equation of the graph is [tex]y - 3 =-2(x - 1)[/tex]

From the question, the line passes through points (2, 1) and (1,3)

Start by calculating the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2-x_1}[/tex]

So, we have:

[tex]m = \frac{3 -1}{1-2}[/tex]

Simplify

[tex]m = \frac{2}{-1}[/tex]

[tex]m =-2[/tex]

The equation is then calculated as:

[tex]y -y_1=m(x -x_1)[/tex]

So, we have:

[tex]y - 3 =-2(x - 1)[/tex]

Hence, the equation of the graph is [tex]y - 3 =-2(x - 1)[/tex]

Read more about linear equations at:

https://brainly.com/question/14323743

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