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

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➷ 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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Answer 2

Answer:

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 = - $\frac{1}{2}$ x + 3 is in this form

with m = - $\frac{1}{2}$

• Parallel lines have equal slopes, hence

slope of parallel line = - $\frac{1}{2}$, thus

y = - $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (3, $\frac{1}{2}$) into the partial equation

$\frac{1}{2}$ = - $\frac{3}{2}$ + c ⇒ c = 2

y = - $\frac{1}{2}$ x + 2 ← equation of parallel line