Question

Write the equation of the line that passes through the given points.
​(​0,​2) and ​(-8​,-1​)

Answer 1

y =
`(3)/(8)` x + 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 ) = (- 8, - 1 )

m =
`(-1-2)/(-8-0)` =
`(-3)/(-8)` =
`(3)/(8)`

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

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