Question

What's the equation of the line that passes through the points (–8,4) and (0,22)?

Answer 1

C

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 ) = (- 8, 4 ) and (x₂, y₂ ) = (0, 22 )

m =
`(22-4)/(0-(-8))` =
`(18)/(0+8)` =
`(18)/(8)` =
`(9)/(4)`

the line crosses the y- axis at (0, 22 ) ⇒ c = 22

y =
`(9)/(4)` x + 22 ← equation of line