Question

What is the equation of the line with slope `m= -1/2` that passes through `(5,3)`?

Answer 1

The equation of the line is `y=-1/2x+11/2`

Explanation:

As you know, equation of a line can be presented by y=mx+c (slope-intercept form). our slope (m)=`-1/2` so we will have to find c (the y-intercept). The rest is shown above.

`y=3` , `x=5` and `m=-1/2 rarr` We then substitute what we were given into our equation:

`3=(-1/2)*5+c rarr` We work out what we have

`3=(-5/2)+c rarr` Add`(-5/2)` to both sides which gives us `c=11/2`, therefore equation of the line is `y=-1/2x+11/2`