What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point ()?

Question

The given line passes through the points (0, ) and (2, 3).

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point ()?

Answer 1

The slope of the given line is 3, so the slope of the parallel line is the same (2 paralleles lines have the same slope)

so it is y=3x+q

now you need to know q

the line passes through the point (-1,-1), so you need to replace x and y with the value -1

-1=3 (-1)+q and you obtain q=-1+3 that is q=2

at the end you have y=3x+2 which is the equation of the line