Question

Find the equation for the line through (2.6) and perpendicular to y=-5/4x+1
.

Answer 1

The slope of the other line that is perpendicular is the negated reciprocal

so

-5/4=4/5 for new line

using the formula
y-y1=m(x-x1)
plug in values
y-6=4/5(x-2)
y-6=4/5x + (4/5)(-2)
y= 4/5x -(4/5*2)+6
y= 4/5x + 22/5

Answer 2

Perpendicular, so the slope is the opposite inverse of -5/4
So slope=4/5
Now we use this:
y-y1=m*(x-x1)
and plug x1=2, y1=6
So then:
y-6=4/5*(x-2)
y=4/5x-8/5+6
y=4/5x+22/6

Answer 3

Sorry, y=4/5x+22/5