(3,-6); 7x+2y=9
write the equation of the line containing the given point and the perpendicular to the given line.

Question

aripotta · Answer

what's the slope of 7x + 2y = 9?

anonymous · Answer

well it wants the answer in point slope form.

aripotta · Answer

ok, but you have to find the slope of the first line first before you can do anything else

anonymous · Answer

thats all my paper has im stuck in this question. unless the slope would be 3,-6 thats my guess.

anonymous · Answer

wait unless its y+6= 2/7 (x-3)

aripotta · Answer

that's right..

aripotta · Answer

that's your answer lol. good job

anonymous · Answer

na no way really.

aripotta · Answer

serious, bro. idk how you got it so fast, but BAM. there ye go

anonymous · Answer

lol but i dont even know how to start with the first step.

anonymous · Answer

well i wanna know to get the answer.

anonymous · Answer

would be like y=mx+b type thing.

aripotta · Answer

ok, so you change 7x + 2y = 9 into slope-intercept form.

7x + 2y = 9
2y = -7x + 9
y = -7/2x + 9/2

aripotta · Answer

and the slope in y = -7/2x + 9/2 is -7/2

aripotta · Answer

so if you want the slope of the line that's perpendicular to this, you find the negative reciprocal of -7/2, which is 2/7

aripotta · Answer

point-slope form is: y - y1 = m(x - x1)

our y1 is -6, x1 is 3, and m is 2/7. so...

y + 6 = 2/7(x - 3)

anonymous · Answer

wow dude the answer was in my notes but i was like no way thats why i wanted to know the steps to the answer thx.

aripotta · Answer

no problem :) i hope that made sense