Question

Find the equation of the line perpendicular to y=-4x+3 that also intersects the point (8,1)

Answer 1

-1

Explanation:

To find b, enter (x,y)=(8,1).

1 = 1/4(8) + b

1 = 2 + b

Subtract 2 on both sides ~

-1 = b

b = -1

Answer 2

y= 1/4x -1, ?=1

Explanation:

y= mx+b the slope-intercept form

y= -4x+3 the given line

perpendicular line will have a slope of -1/m, so it will be have m=1/4

The line will be:

• y= 1/4x+b

As it passes through point (8,1),

• 1= 1/4*8+b ⇒ b= 1- 2= -1

So the equation is:

• y= 1/4x -1