Question

if m=4, find a value for k such that y-intercept will be -2
y-2=m(x-k)

Answer 1

first off, if \(m=4\) you have
\[y-2=4(x-k)\] right?

Answer 2

yeah. then i distributed 4 to x and k so i got
y-2=4x-4k

Answer 3

ok good
now add \(2\) to both sides

Answer 4

y=4x-4k+2 ??

Answer 5

yes

Answer 6

which looks like \(y=mx+b\) where \(m=4\) and \(b=-4k+2\)

Answer 7

so your job is to set
\[-4k+2=-2\] and solve for \(k\) which takes two steps only

Answer 8

okay because thats where i stopped and didnt know what to do.
k=1

Answer 9

thanks again