Question

Choose the point-slope form of the equation below that represents the line that passes through the point (6, -3) and has a slope of one half.

y - 6 = one half(x + 3)
y = one halfx - 6
y + 3 = one half(x - 6)
x - 2y = 12

Answer 1

Choose the point-slope form of the equation below that represents the line that passes through the point (6, -3) and has a slope of one half.

y - 6 = one half(x + 3)
y = one halfx - 6
y + 3 = one half(x - 6)
x - 2y = 12

Answer 2

a line with slope \(m\) that passes through point \(a,b\) has equation\[y-b=m(x-a)\]

Answer 3

ok

Answer 4

@TuringTest you still there

Answer 5

i think the answer is either a or c

Answer 6

yes

Answer 7

well given that I said that a line with slope \(m\) that passes through point \((a,b)\) has equation\[y-b=m(x-a)\]ask yourself, what is are \(a\) and \(b\) in your case?

Answer 8

i have no clue to be honest

Answer 9

what is the point the line passes through? it is given in the problem

Answer 10

6,-3

Answer 11

ok, so compare \((6,-3)\) and \((a,b)\)
which number is \(a\) and which number is \(b\) ?

Answer 12

6=a -3=b

Answer 13

great!
and remember that \(m\) is the slope
what is the slope in your problem?

Answer 14

ummm 1/2

Answer 15

or one half

Answer 16

correct, so \(m=\frac12,~a=6,~b=-3\)
now just plug those numbers into\[y-b=m(x-a)\]

Answer 17

y+3=1/2(x - 6)

Answer 18

excellent!
good job :)

Answer 19

thank you

Answer 20

wait i am done that is all have to do wow you are amazing do you mind helping me with some more

Answer 21

i am going to close out of this though so i can give you another medal i will tag you

Answer 22

@TuringTest

Answer 23

sorry, I am multi-tasking
you are welcome