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what's the slope of line AB?

idk that is everything that came with the equation

is it -7

no this is an example on a lesson online I don't get it

so is x -4/3

y=-4*x+3 <------is this it

m1=-7 correct

how did you get -7?

-4-3

did you try solving the equation I gave at all?

yeah I was trying to figure what m1 was so i could multiply by -1/6

instead of solving that equation
you could also ask yourself what is the opposite reciprocal of -1/6

multiply -4 and 3 by 6

I know you can find the opposite reciprocal of -1/6...
Just change the sign and then flip.

m1=6 is the equation of a line perpendicular to line AB in slope-intercept

no

that is just the slope of the perpendicular line

oh wait so is it -4/3*6=-1

no I don't know where you got that from but -4/3*6 isn't -1
isn't -24/3 which is -8

where did you get those numbers from

so it is y=m_1*-4-3

so the answer after solving equation is -42

no
you are suppose to get an equation

I will give the equation in point-slope form one more time
\[y-y_1=m_1(x-x_1) \]

replace m_1 with 6
replace x_1 with -4
replace y_1 with 3

so its y-3=6(x+4)

yes now just put in slope-intercept form

distribute
and add 3 on both sides

have to go
peace

so if you have 6(x+4) then what does distributive property say about this?

this is of the form y=mx+b which we call slope-intercept form

y=6x+27 is a line that is perpendicular to y=-1/6x-1 and also goes through the point (-4,3)

Well hopefully this will be a good example on how to do other similar problems.

Way to hang in there. I know math can be tough but you can get it with practice and more practice.