Question

consider the following equation 7x+6y=17..find the equation in slope-intercept form, for the line which is parallel to this line and passes through the point (-6,2)

Answer 1

parallel lines have the same slope. So our lie must have a slope of -7/6
Our line is,
y-2=(-7/6)(x+6)
rearrange to get in slope intercept form

Answer 2

so y=(-7/6)x-5

Answer 3

so the 6 in the slope and the point cancel out....then add 2 to the other side leaving -5?

Answer 4

in the x portion of the point, yes :)

Answer 5

yay!!! you all are awesome on here!!!!

Answer 6

:)

Answer 7

Parallel = same slope
7x+6y=17 => y = (17-7x)/6 => y=(17/6)-(7/6)x
then m is -(7/6)
(y-2)/(x+6) = -(7/6)
y=-(7/6)x-5
then new y pass by (-6,2) and has slope -(7/6)