Question

What is the equation of the line parallel to 3x + 2y = -4 that goes through the point (4, -1)?

y =
2x+4
y =
2³x + 5
y =
¾x + 5
Oy = =
x +5
=

Answer 1

y = -
`(3)/(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 )

given

3x + 2y = - 4 ( subtract 3x from both sides )

2y = - 3x - 4 ( divide terms by 2 )

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

with slope m = -
`(3)/(2)`

• Parallel lines have equal slopes , then

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

to find c substitute (4, - 1 ) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = -
`(3)/(2)` x + 5 ← equation of parallel line