Question

Please Help No fake anwsers PLEASE

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

Answer 1

`\huge \boxed{\bf{y = x - 3}}`

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)
  `\Rarr (x_1, y_1)`
• (2, -1)
  `\Rarr (x_2, y_2)`

`\sf \to m = (y_2 - y_1)/(x_2 - x_1)`

`\sf \to m = (-1 - (-2))/(2 - 1)`

`\sf \to m = (1)/(1)`

`\sf \to m = 1`

`\:`

~Find equation:

`\sf \to y - y_1 = m(x - x_1)`

`\sf \to y - (-2) = 1(x - 1)`

`\sf \to y + 2 = x - 1`

`\sf \to y = x - 1 - 2`

`\sf \to y = x - 3`

`\:`

`\huge\colorbox{blue}{BlackPain}`

Answer 2

y = x - 3

Step-by-step explanation:

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

Find slope:

`\boxed{\sf (y_2 - y_1)/(x_2 - x_1) }` where (x1, y1), (x2, y2)

`\sf \rightarrow (-1-(-2))/(2-1)`

`\sf \rightarrow 1`

Equation:

y - y1 = m(x -x1)

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

y + 2 = x - 1

y = x - 3