Question

The equation of line LM is y = 5x + 4. Write an equation of a line perpendicular to line LM in slope-intercept form that contains point (−3, 2).

Answer 1

You know the slope of the new line has to have a slope that is the negative reciprocal of LM. start with that

Answer 2

1) What is slope of the line y = 5x + 4?
2) What is the slope of the line perpendicular to the line in step 1?
3) The equation of a line with slope m and passing through the point (x1, y1) is:
y - y1 = m(x - x1). Simplify and put it in the form y = mx + b.

Answer 3

how do i find the slope

Answer 4

It's the negative reciprocal of the slope of the original.

The reciprocal is the inverse of a number. like so:
8 -> -1/8

Answer 5

ok.. i have to find the slope of what

Answer 6

The original line.

what is the slope of y=5x+4?

Answer 7

how do i find that

Answer 8

Compare it to y = mx + b where m is the slope.

Answer 9

slope is 5

Answer 10

What is the negative reciprocal of 5?

Answer 11

-1/5

Answer 12

@cleats

Answer 13

correct. now we have the following:\[\huge y - y_1 = m(x - x_1) \]
we have m, we have x1 and y1 too

Answer 14

yes

Answer 15

plug that stuff in and solve till you get y = mx + b

Answer 16

what is y ?

Answer 17

y1 is the slope ?

Answer 18

my internet is really bad... thats why i take forever to respond im so sorry

Answer 19

m is the standard symbol for slope at least in lines.
\[\huge y - y_1 = m(x - x_1)\](x1,y1) = (−3, 2)
m = -1/5

Answer 20

y - 2 = -1/5(x - -3)

Answer 21

yup. start by simplifying the parentheses. then distributing the -1/5

Answer 22

we have no x so how do i simplify parenthesis ?

Answer 23

what does minus a -3 mean?

Answer 24

ummm

Answer 25

lol i'll just write it out
(x- -3)= x+3

Answer 26

oh lol ok ... so it would be -1/3 * x + 3

Answer 27

i mean -1/5 * x + 3

Answer 28

y - 2 = -1/5(x + 3)
yeah. distribute the -1/5

Answer 29

y - 2 = -1/5x + -1/5 + 3 ?

Answer 30

y - 2 = -1/5x + -1/5 * 3
fixed

Answer 31

ok i do -1/5 * 3 ?

Answer 32

yeah. -3/5

Answer 33

ok so we have y - 2 = -1/5x + -3/5

Answer 34

add 2 to both sides aaaand we get?

Answer 35

y = -1/5x + 7/5

Answer 36

yep. that's the answer

Answer 37

thank you so much!

Answer 38

np, np