Question

2) Find the equation of the line in

slope intercept form that is parallel
to y = 1/2x - 3 and passes through
(6,-2)

Answer 1

y =
`(1)/(2)` x - 5

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y =
`(1)/(2)` x - 3 ← is in slope- intercept form

with m =
`(1)/(2)`

Parallel lines have equal slopes, thus

y =
`(1)/(2)` x + c ← is the partial equation

To find c substitute (6, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y =
`(1)/(2)` x - 5 ← equation of line