signment Scoring four best submission for each question part

signment Scoring four best submission for each question part is used for your score. 0 O 0.5/1 points Previous Answers LarAT10 2.1.073 Write equations of the lines through the given point parallel to and perpendicular to the given line. 10x-2y = 7, (10, 1) (a) parallel to the given line y=5x-49 | (b) perpendicular to the given line Need Help? ad It Show My Work (Optional) Submit Answer Save Progress Type here to search 0\' 0 e- a @ 2.1: Linear Equ.

Solution

slope of given line is 5
we know that slope of perpendicular line is negative opposite of given line.
then slope of perpendicular line m=-1/5
now plug slope m=-1/5 and point (10,1) into point slope formula to find equation of perpendicular line
y-y1=m(x-x1)
y-1=-1/5(x-10)
y-1=-1/5x+2
y=-1/5x+3

So the perpendicular line will be y=-1/5x+3