Question

Slope equation: passes thru (3,-1) perpendicular to y=4x+1
I can't reply back I'm on safari, but I will medal if your information helps me found out the answer!(:

Answer 1

lol safari c: out hunting those lions and tigers and bears huh?

\(\Large\rm y=\color{royalblue}{4}x+1\)

Answer 2

This 4 is the slope of the given line.
If the line we're searching for is `perpendicular` to this line, it will have a slope which is the `negative reciprocal` of this slope.

Answer 3

So our m will be, \(\Large\rm m=-\frac{1}{4}\)

Answer 4

We can write our line in the form,
\(\Large\rm y=mx+b\)
So we curently have,
\(\Large\rm y=-\frac{1}{4}x+b\)

Answer 5

Your line passes through the point (3,-1).
So plug that point into our equation that we have so far, and solve for b.

After you have found your b,
go back to this,
\(\Large\rm y=-\frac{1}{4}x+b\)
and plug in the b.

That will be your answer.

Answer 6

That is the slope-intercept form of a line.