Question

How do I find the equation of a line parallel to y=-1/2x +3 passing through (3,1/2) please help I’ve been here for a hour

Answer 1

see explanation

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 this form

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

• Parallel lines have equal slopes, hence

slope of parallel line = -
`(1)/(2)`, thus

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

To find c substitute (3,
`(1)/(2)`) into the partial equation

`(1)/(2)` = -
`(3)/(2)` + c ⇒ c = 2

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

Answer 2

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ If a line is parallel to the line, then the slope will remain the same

Now, you just need to substitute the values of that coordinate into the equation

1/2 = -1/2(3) + c

Simplify:

1/2 = -1.5 + c

Add 1.5 to both sides

c = 2

Therefore, the equation of the line would be:

y = -1/2x + 2

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡