Question

4) A line has the equation

y = 3x + 4. Find the equation
of the line parallel to this line,
which passes through the
point (5, 4)

Answer 1

y = 3x - 11

Explanation:

parallel lines have the same slope

y - y1 = m(x - x1) point slope form, plug in the point (5,4)

y - 4 = 3(x - 5) put this in slope-intercept form

y - 4 = 3x - 15

y = 3x - 11