Question

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).

Answer 1

can someone help me please and thank you

Answer 2

what's the slope of y = 2x + 2 ?

Answer 3

idk the 2x

Answer 4

?

Answer 5

http://www.algebra-class.com/image-files/slope-formula-1.gif <---

Answer 6

see the slope of that equation now?

Answer 7

yess

Answer 8

so it would be 2

Answer 9

so the slope of this equation is 2

so any perpendicular line to it, will have a slope of NEGATIVE RECIPROCAL of that slope

so if this equation line has a slope of 2, a perpendicular line equation slope will be

RECIPROCAL of 2
1/2

NEGATIVE of that
-1/2

Answer 10

when I tried doing this problem by myself i got y = 2x + 6

Answer 11

is that right ?

Answer 12

@jdoe0001

Answer 13

y = 2x + 6

y = −one halfx + 3

y = −one halfx + 6

y = 2x + 3
these are the answer i had to choose from i thought it would be the 1 one

Answer 14

so now we know 2 things about that other line which is perpendicular to this one

it has a slope of -1/2 and passes through the point ( 6 , 3)

so let us use the "point-slope intercept" form, that is \(\bf y-y_1=m(x-x_1)\)

\(\large \begin{array}{rrlll}\\
(x_1,y_1) = (6,3)\\\quad \\
\hline\\ \quad \\
&3&-\cfrac{1}{2}&& 6\\
y-&y_1=&m&(x-&x_1)

\end{array}\)

Answer 15

so would it be the 3rd one y= 1/2x +6

Answer 16

well, we dunno, if you replace those values in the point-slope form, that is \(\large \begin{array}{rllll}\\
m = slope\\
(x_1,y_1) = (6,3)\\\quad \\
\hline\\ \quad \\
&3&-\cfrac{1}{2}&& 6\\
y-&y_1=&m&(x-&x_1)

\end{array}\)

how would the point-slope form look like?

Answer 17

um idk y-3-1/2x (x-6) is that right or no ? lol

Answer 18

\(\bf m = \color{green}{slope}\\
(\color{red}{x_1},\color{blue}{y_1}) = (6,3)\\\quad \\ \quad \\
y-y_1=m(x-x_1) \implies y-\color{blue}{3}=\color{green}{-\cfrac{1}{2}}(x-\color{red}{6})\)

then just solve for "y" to get your equation :)

Answer 19

oh okay well I did it on a piece of paper and I got y = -1/2x + ^ is that right

Answer 20

y=-1/2x+6*

Answer 21

yeap, that's the line "that's perpendicular to y = 2x + 2 and passes through the point (6, 3)"

Answer 22

thank you so much

Answer 23

yw