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

➷ 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

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see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = - x + 3 is in this form

with m = -

• Parallel lines have equal slopes, hence

slope of parallel line = - , thus

y = - x + c ← is the partial equation

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

= - + c ⇒ c = 2

y = - x + 2 ← equation of parallel line

lo.lll

step-by-step explanation:

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