Question

3) What is the equation of the line​

Answer 1

y =
`(1)/(2)` 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 ) = (- 4, 0 ) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

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

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

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