Question

What is the Equation of the line

Answer 1

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

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 ) = (- 4, 1) and (x₂, y₂ ) = (4, - 3)

m =
`(-3-1)/(4+4)` =
`(-4)/(8)` = -
`(1)/(2)`

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = -
`(1)/(2)` x - 1 ← equation of line