Question

Identify the ordered pairs that has the same slope as the equation y = -2x + 1

(-3,6) and (-2,5)
(0,0) and (5,5)
(-1,0) and (-4,2)
(0,1) and (3,-5)

Answer 1

fourth option

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 1 ← in slope- intercept form

with slope m = - 2

find the slope of the ordered pairs using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 3, 6 ) and (x₂, y₂ ) = (- 2, 5 )

m =
`(5-6)/(-2-(-3))` =
`(-1)/(-2+3)` =
`(-1)/(1)` = - 1 ≠ - 2

repeat with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (5, 5 )

m =
`(5-0)/(5-0)` =
`(5)/(5)` = 1 ≠ - 2

repeat with (x₁, y₁ ) = (- 1, 0 ) and (x₂, y₂ ) = (- 4, 2 )

m =
`(2-0)/(-4-(-1))` =
`(2)/(-4+1)` = -
`(2)/(3)` ≠ - 2

repeat with (x₁, y₁ ) = (0, 1 ) and (x₂, y₂ ) = (3, - 5 )

m =
`(-5-1)/(3-0)` =
`(-6)/(3)` = - 2

the ordered pairs (0, 1 ) and (3, - 5 ) have the same slope as line y = - 2x + 1