We are given the equation
and the point (-9,4). We want to find the equation of a line of the form
that is parallel to the given line and passes through the given point. Note that, two lines are parallel if and only if they have the same slope. So, in this case, we should find the value of m for the first line equation. By comparison, we can check that the slope of the first equation is 2/3. So, this means that the slope of the second equation (m) should be 2/3 also. So our equation looks like this
since we want this equation to pass through the point (-9,4) this means that whenever we replace x by -9, we should replace y by 4. So we get the following equation
So, if we add 6 on both sides, we get
so the equation of the line at is parallel to the original line and that passes through the given point is