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DanielleElmas [232]
3 years ago
7

The tables represent some points on the graphs of lines m and n. Which system of equations is represented by lines m and n? A) 6

x − y = 8 3x 2y = 9 B) 6x y = −8 3x − 2y = 9 C) −6x − y = 8 −3x 2y = 9 D) 6x − y = −8 −3x − 2y = 9.
SAT
1 answer:
Oxana [17]3 years ago
3 0

A system of equation is a collection of equations

The system of equation is: \mathbf{6x -y = 8} and \mathbf{3x + 2y = 3 }

The points are given as:

\mathbf{Line\ m = (0,-8)(1,-2)}

\mathbf{Line\ n = (1,3)(3,0)}

<u>For line m</u>

Calculate the slope

\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}

So, we have:

\mathbf{m = \frac{-2 + 8}{1 - 0}}

\mathbf{m = \frac{6}{1}}

\mathbf{m = 6}

The equation is then calculated as:

\mathbf{y = m(x - x_1) + y_1}

This gives

\mathbf{y = 6(x - 0) -8}

\mathbf{y = 6x -8}

Rewrite as:

\mathbf{6x -y = 8}

<u>For line n</u>

Calculate the slope

\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}

So, we have:

\mathbf{m = \frac{0 - 3}{3 - 1}}

\mathbf{m =- \frac{3}{2}}

The equation is then calculated as:

\mathbf{y = m(x - x_1) + y_1}

This gives

\mathbf{y =- \frac{3}{2}(x -0) + 3 }

\mathbf{y =- \frac{3}{2}x + 3 }

Multiply through by 2

\mathbf{2y =- 3x + 3 }

Rewrite as:

\mathbf{3x + 2y = 3 }

Hence, the system of equation is:

\mathbf{6x -y = 8} and \mathbf{3x + 2y = 3 }

Read more about system of equations at:

brainly.com/question/13997560

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