Question

Write an equation of the line in slope intercept form

Answer 1

y = 2x - 2

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, - 2) and (x₂, y₂ ) = (2, 2)

m =
`(2+2)/(2-0)` =
`(4)/(2)` = 2

The line crosses the y- axis at (0, - 2) ⇒ c = - 2

y = 2x - 2 ← equation of line