Question

A coordinate plane with a line drawn passing through the points (0, 3) and (1,1). which equation represents the graphed function? y = –2x 3 y = 2x 3 y = x 3 y = –x 3

Answer 1

y = - 2x + 3

Explanation:

the equation of a line in slope- intercept form is

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

calculate m using the slope formula

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

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

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

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 2x + 3 ← equation of line