Question

Write the slope-intercept form of the equation of each line.

1. through (4 2) perp. to y = -2/3x -4

Answer 1

do you know the slope of \[\huge y=\color{red}{-\frac{2}{3}}x-4\]

Answer 2

the slope is -2/3 ?

Answer 3

that is the slope of that line, yes
how about the slope of a perpendicular line?

Answer 4

is it the opposite of it? so +2/3

Answer 5

no

Answer 6

not the "opposite" although you do change the sign
it is the "negative reciprocal" so flip it and change the sign

Answer 7

so it is 3/2

Answer 8

yes

Answer 9

you good from there?

Answer 10

and then you do the y-y1=m(x-x1) formula right?

Answer 11

zactly

Answer 12

aight thanks a lot!

Answer 13

yw