Question

Write the equation of the line passing through the given point T (-6,2) and is parallel to the line

y=2/3x
​

Answer 1

y =
`(2)/(3)` x + 6

Explanation:

The equation of a line in slope- intercept form is

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

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

with slope m =
`(2)/(3)` and c = 0

Parallel lines have equal slopes , thus

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

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

2 = - 4 + c ⇒ c = 2 + 4 = 6

y =
`(2)/(3)` x + 6 ← equation of parallel line