- - - - - - - - - - - - - - - - - - - - - - - - -

What is the S.I. form of the equation that passes through (-6,3) and is parallel to y=2x-3?

Parallel lines have the same slope.
The line y=2x-3 has a slope of 2, therefore, the line parallel to it has a slope of 2.
Now let's write the equation of the new line in point-slope form:-

Replace y1 with -3, m with 2, and then write -6 in lieu of x1:-

On simplification,

On further simplification,

Which results in:-

▲ our slope-intercept equation
Good luck with your studies.
-- - - - - - - - - - - - - - - - - - - - - - - - -