Question

Options:
y= -2x - 6
y= 2/3x + 6
y= -2/3x + 6
y=2x + 6

Answer 1

y = -
`(2)/(3)` x + 6

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, 6) and (x₂, y₂ ) = (6, 2) ← 2 points on the line

m =
`(2-6)/(6-0)` =
`(-4)/(6)` = -
`(2)/(3)`

The line crosses the y- axis at (0, 6) ⇒ c = 6

y = -
`(2)/(3)` x + 6 ← equation of line