Question

please help! write an equation of the line satisfying the given conditions. give the answer in slope-intercept form.

Parallel to 5x-y=10; y intercept (0,-2)

Answer 1

What do you know about the slopes of two lines that are parallel?

Answer 2

they are equal?

Answer 3

Right! So the slope of the line you are to write the equation for, has the SAME slope as the line given by 5x-y=10.

So, do you know how to find the slope of 5x-y=10?

Answer 4

well, I don't know if it's right but I subtracted 5x and added it to 10. In result, I had -y=10-5x. So I was going to divide by -5 to get x and divide 10 then I got all confused

Answer 5

yes! the slopes of two functions r equal!!
and u can get the first piece of data to ur function from this
if the function the question asks has to be in the form of
Y = mx + c
where m
m= gradient and c = intercep
Now u already know the gradient or the slope...
the slope of the given function is
y = 5x -10
sooooo..
the slope is 5

then we can move one step and write our function (the one that problem asks)
as
Y = 5x + c

now all we have to do is find C
and that's where the pair of co-ordinates come from
the given co - ordinates r ( 0 , -2)
which mean the line question asks should pass a point where
y = -2 and x = 0

let's substitute those valuse in our equation
y = 5x + c
-2 = (5x0) + c
c = -2

that's it and we r done!!
So the function which is parallel to the given function and has the given co-ordinates
is
y = 5x - 2

hope this will help ya!!!

Answer 6

LIke @***[ISURU]*** said, you were on the right track - you need to put the given line into the form: y=mx+b

Once in that form, you can easily find the slope; it is just the coefficient of the variable x.

So you got to this point:
-y=10-5x

All that is left to get to y=mx + b is to change that coefficient on the y from a -1 to a +1. The easy way to do that is to multiply both sides by -1:

(-1)(-y)=(10-5x)(-1)
y=-10+5x

and then I would probably rearrange that right hand side - not strictly necessary, but it is how we are "used to" seeing the equation for a line:

y=5x-10

Answer 7

ok. thank you. I get where I missed up. How about the next question, It is through the points (4,2) and is perpendicular to x-3y=7

Answer 8

perpendicular is the opposite isn't it? like it'll be negative and/or positive the equations