Question

How do you find a line that passes through a point (3,1) that is parallel to a line whose slope is -1/2?

Answer 1

`y=-1/2x+5/2`

Explanation:

parallel lines have equal slopes so the equation of the line is :
`y=-1/2x+C`

since the point (3,1) is on the line so we can substitute it in the

equation above to find `C` ;

`1=-1/2(3)+C` ,
`1=-3/2+C` ,
`1+3/2=C` ,
`C=5/2`

the overall equation is `y=-1/2x+5/2`