what is (6,4) y = 3x-2

Question

its perpendicular lines 

 

Answer 1

Hi Makaila;

(6,4) y = 3x-2

The equation is in slope-intercept format...

y=mx+b

m is the slope.

Slope is 3.

The slope of the line perpendicular to this is such negative inverse...

-1/3

Point-slope formula...

y-y₁=m(x-x₁)

y-4=(-1/3)(x-6)

y-4=(-1/3)x+2

Please remember that a negative of a negative number is positive, (-1/3)(-6)=+2.

Let's add 4 to both sides...

y-4+4=(-1/3)x+2+4

y=(-1/3)x+6

Let's check our work...

(6,4)

4=[(-1/3)(6)]+6

4=-2+6

4=4