Question

The equation of a line is y=-2x+1. what is the equation of the line that is parallel to the first line and passes through (2,2)

Answer 1

How would you start this?

Answer 2

if you have a parallel line to the given line, you know what this parallel line's slope must be...

Answer 3

I dont know how to do it.. i need the know how to.. please help me out

Answer 4

Hint: Paralell lines have same slope.

Answer 5

so thats mean the slope would be -2x ?

Answer 6

not quite. when you have an equation of the form y=mx+b...the "m" is the slope. what is "m" here?

Answer 7

in the equation they gave me the slpe is -2x

Answer 8

no. the slope is just -2 without the "x"

Answer 9

ok then i have to plug to the equation of the slpe intercept form?

Answer 10

you have to plug in your known slope and the known point the line passes through (2,2) into the slope-intercept form

Answer 11

so where ever i see x i put 2 and where i see Y i put 2

Answer 12

not quite. here's a way to look at it. slope is a ratio which tells you, given two points on the line, how much the line "rises" divided by how much the line "runs". slope equals "rise" divided by "run". Now we know the slope and one point on the line. It's slope must be:\[m=\frac{y-2}{x-2}=-2\]where (x,y) is any other (unknown) point on the line.

Answer 13

ok then i have to slope it.. then the answer i found is the the answer to my question

Answer 14

not sure what "slope it" means. But if you got the answer, great :)

Answer 15

thanks you so much..

Answer 16

no problem

Answer 17

ok