Question

Write the equation of a line that is parallel to the line whose equation is y = 1/3x +6 and passes through the point(-3,5).

Answer 1

y = 1/3 x + 6

Explanation:

The slope of two parallel lines is the same; thereofre the equation of the line we are seeking looks like

`y=(1)/(3)x+b`

where b is a constant hitherto unknown.

Now, we know from point (-3, 5) that when when x = -3, y = 5; therefore,

`5=(1)/(3)(-3)+b`

the above simplifies to

`5=-1+b`
`\therefore b=6`

Hence, the equation of the line is

`y=(1)/(3)x+6`