Question

Write equation of the line containing (6,3) and (4,1) Group of answer choices y = -1x + 5 y = 1x - 3 y = 1x + 5 y = -1x + 3

Answer 1

y = x - 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 ) = (6, 3) and (x₂, y₂ ) = (4, 1)

m =
`(1-3)/(4-6)` =
`(-2)/(-2)` = 1 , then

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 1 )

1 = 4 + c ⇒ c = 1 - 4 = - 3

y = x - 3 ← equation of line