Question

What equations are parallel and perpendicular to y = 2x - 1 and that pass through the point (4, 1)
?

Answer 1

Find the slope first..

Slope = 2

Now, the parallel line equation is:

y - y1 = m(x - x1)

y - 1 = 2(x - 4)

y = 2x - 7



Now for perpendicular lines,

Slope = negative reciprocal of given slope = -1/2

Now use the same equation to find its equation:

y - y1 = m(x - x1)

Here put m = -1/2

And find the equation..

Answer 2

Would the equation be :

parallel: y = 2x + 2
perpendicular: y = x +

Answer 3

parallel y = 2x + 7
perpendicular

y = -x/2 + b

substitute x = 4, y = 1 to find b