Question

What is the equation of the line through the point `(-2,8)` with slope `1/2`?

Answer 1

Answer

Explanation:

The general equation of a line with a slope and intercept is

`y=mx+c`

Given data `m=1/2`, `P(-2,8)`

So the equation of the line will be
`y = 1/2x+c`

We don't know `c` in the above equation. So the equation is incomplete. This line passes through the given point. Hence the co-ordinates should lie on the line. (i.e.) the points should satisfy the above equation. Using this relationship we can find the unknown `c`.

`8 = 1/2(-2)+c`
`c = 8+1`
`c = 9`

So the line equation is `y = 1/2x+9`