Question

How do you write an equation of a line through: (0, -4), parallel to `y=-7/3x+1`?

Answer 1

Please see the explanation.

Explanation:

Change constant term in the equation into an arbitrary constant, b:

`y = -7/3x + b`

Substitute the point `(0, -4)` into the equation and then solve for the new value of b:

`-4 = -7/3(0) + b`

`b = -4`

The equation desired equation is:

`y = -7/3x - 4`