Question

What is the equation of the line that is parallel to the given line and passes through the point (3, 0)? Show work please!

Answer 1

`y=-(3)/(5)x+(9)/(5)`

Explanation:

Slope intercept form y=mx+b

m=slope

b=y intercept

parallel lines have the same slope

so to find the slope we use the slope formula
`(y_(2)-y_(1) )/(x_(2)-x_(1) )` with points given us

`(-1-2)/(2-(-3))\\(-3)/(5) \\-(3)/(5)`is the slope

Fill this in

`y=-(3)/(5)x+b`

To find b we will put in the coordinates (3,0)

`0=-(3)/(5) (3)+b\\0=-(9)/(5) +b`

Add 9/5 to both sides

`(9)/(5) =b`

Now we fill in b

`y=-(3)/(5)x+(9)/(5)`

Hope this helps please let know if you have further questions