Question

Choose the slope-intercept equation of the line that passes through the point shown and is perpendicular to the line shown.

I'll provide a picture, please help me.

Answer 1

First find the slope for the line given ??

Answer 2

line through the points 0 comma 3 and 3 comma 5 with the point 2 comma negative 3 not on the line??

Idk how to do this ;(

Answer 3

ok the line that is given to you have a slope of 2/3
rise and run, can you see that ??

Answer 4

honestly I can't see that I have no clue how to do this. I'm homeschooled and get a bit stumped, since I don't have a teacher to walk me through..

Answer 5

you need to find the equation that is perpendicular to that line, to be perpendicular it needs to be opposite reciprocal
Do you know what is opposite reciprocal of 2/3 ??

Answer 6

the way I know the slope is 2/3, if you see the point (0,-3) every time you count up 2 and 3 to the side you will find a point

Answer 7

So the answer will be the last choice?

Answer 8

no, we are only half way to get the answer
so do you know what is opposite reciprocal ??

Answer 9

yes or no

Answer 10

no. Well when u flip the equation right?

Answer 11

right opposite reciprocal you need to change sign as well
so the opposite reciprocal of 2/3 = -3/2

Answer 12

so the answer is the first one? y=-3/2x

Answer 13

no the problem is giving you a point (2,-3), and the question is what is the equation that passes through those points, so you use formula
y=mx+b, to find b

Answer 14

so you have
-3 = -3/2(2) + b
b = 0, so the equation would be y = -3/2x + 0 which is the same as
y = -3/2x

Answer 15

so what would the answer be O_O

Answer 16

that is the answer y = -3/2x

Answer 17

oh ok thanks

Answer 18

yw :)