Question

How do you write the point slope form of the equation of the line that passes through (4,2) and parallel to `y=-3/4x - 5`?

Answer 1

Your line must have the same slope (=same inclination) of the given line and must intercept point (`4,2`):
So:
`y-y_0=m(x-x_0)`
`y-2=-3/4(x-4)` or:

`y=-3/4x+5`