Question

Find the line through the point (1, -3) that is PARALLEL to the line y = 1/4 x - 2.
Parallel line implies the SAME slope, i.e. m = 1/4
y - y1 = m(x - x1) <-- point slope formula for a line
y - -3 = 1/4 (x - 1) <-- plug in the point and the slope
y + 3 = 1/4 x - 1/4 <-- minus a minus = positive; distribute the 1/4 into the parentheses; subtract 3 = 12/4 from both sides
y = 1/4 x - 13/4

Find the line through the point (1, -3) that is PERPENDICULAR to the line y = 1/4 x - 2.
Perpendicular means the slope flipped and switched, i.e. m = 1/4 --> m = -(4/1) = - 4
y - y1 = m(x - x1) <-- po

Answer 1

@hartnn maybe u can help

Answer 2

please

Answer 3

what exactly is you doubt ?
for 1st Q, y = 1/4 x - 13/4 is correct ..

Answer 4

for 2nd Q,next step is
y - -3 = (-4) (x - 1) <-- plug in the point and the slope
can you solve further to get the equation?

Answer 5

not really

Answer 6

what is your question