Question

Find the equation of each line in slope intercept form

Answer 1

y =
`(3)/(2)` x - 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, - 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m =
`(0-(-3))/(2-0)` =
`(0+3)/(2)` =
`(3)/(2)`

the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

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