Question

How do you write the equation of a line in point slope form that is parallel to `y=3x-9` and goes through (-5,-4)?

Answer 1

Use the relationship:
`y-y_0=m(x-x_0)`
Where `m` is the slope, that is the same as the one of your given line (i.e. `m=3`, they ar parallel so they have the same slope/inclination) and `x_0,y_0` are the coordinates of your point (i.e. `(-5,-4)`).