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Determine a relationship between the x- and y-values. Write an equation.
A: y = x − 5
B: y = x − 3
C: y = −3x + 1
D: y = −x − 3

Please Help No fake anwsers PLEASE Determine a relationship between the x and yvalues Write an equation A y x 5 B y x 3 C y 3x 1 D y x 3 class=

Respuesta :

Answer:

y = x - 3

Explanation:

take two points: (1, -2), (2, -1)

Find slope:

[tex]\boxed{\sf \frac{y_2 - y_1}{x_2 - x_1} }[/tex] where (x1, y1), (x2, y2)

[tex]\sf \rightarrow \dfrac{-1-(-2)}{2-1}[/tex]

[tex]\sf \rightarrow 1[/tex]

Equation:

y - y1 = m(x -x1)

y - (-2) = 1(x-1)

y + 2 = x - 1

y = x - 3

Answer:

[tex]\huge \boxed{\bf{y = x - 3}}[/tex]

Step-by-step explanation:

Given:-

Take two point:

  • (1, -2), (2, -1)

To find:-

  • equation of line

Ans:-

~Find slope in two point:

  • (1, -2) [tex]\Rarr (x_1, y_1)[/tex]
  • (2, -1) [tex]\Rarr (x_2, y_2)[/tex]

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

[tex]\sf \to m = \frac{-1 - (-2)}{2 - 1} [/tex]

[tex]\sf \to m = \frac{1}{1} [/tex]

[tex]\sf \to m = 1 [/tex]

[tex] \: [/tex]

~Find equation:

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

[tex] \sf \to y - (-2) = 1(x - 1) [/tex]

[tex] \sf \to y + 2 = x - 1 [/tex]

[tex] \sf \to y = x - 1 - 2 [/tex]

[tex] \sf \to y = x - 3 [/tex]

[tex] \: [/tex]

[tex] \huge\colorbox{blue}{BlackPain} [/tex]

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