write the equation of a line that is a.) parallel to, b.) perpendicular to the given equation… passes through (-3,5) and the line y=3x-1

Answer 1

any parallel line has the same slope. the slope is the x term's coefficient if the equation is solved for y

y=3x-1 has slope =3. a parallel line through the point (-3,5) is 3 = (y-5)/(x+3) or y = 3x + 14

a perpendicular line has a negative inverse slope. negative inverse of 3 is -1/3.

the equation of the perpendicular line is: y=-x/3 + 4