Question

HELP ASAP 100 POINTS!!!!. What is the equation of the line shown in the graph below?

Answer 1

option 3

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 ) = (4, 0) ← 2 points on the line

m =
`(0-(-2))/(4-0)` =
`(0+2)/(4)` =
`(2)/(4)` =
`(1)/(2)`

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

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