Question

Passing through the point (3,-2) and parallel to the line with the equation Y=1/3 x-7

Answer 1

y =
`(1)/(3)` 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 )

y =
`(1)/(3)` x - 7 ← is in slope- intercept form

with m =
`(1)/(3)`

Parallel lines have equal slopes, thus

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

To find c substitute (3, - 2) into the partial equation

- 2 = 1 + c ⇒ c = - 2 - 1 = - 3

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