Question

@waterineyes write an equation of a line in slope intercept form, that is parallel to y=3x+6 and passes through the point (-10, 2.5)

Answer 1

Suppose if a line l is parallel to y = 3x + 6 then the slopes of these two lines must be equal..

Answer 2

yes, that makes sense

Answer 3

Can you find the slope of line y = 3x + 6??

If not, then try and if not then tell me.. :)

Answer 4

3

Answer 5

Wow, you are faster than me, Good..

Now our line that we want to find should have 3 as its slope.. Right??

Answer 6

We have find m from one condition given.. Now we are interested in finding b or c called intercept from the other condition given..

Getting??

Answer 7

If you have any difficulty anywhere then do tell me..

Answer 8

*found.. Don't follow my english.. :P

Answer 9

lol. ok, i am following, bu just a tiny bit confused. whats an other equation we can use to find the answer?

Answer 10

What, I did not get you..

See, there are two lines in our question, one is y = 3x + 6 and other is l(say).. Now we want to find the equation of l line..

Getting??

Answer 11

right ok. so how do we find be now? the equation so far looks like: y=3x+?

Answer 12

Yes you are right. we have found only m.. Now we want to find other ? mark there in my diagram.. Getting??

Answer 13

yes

Answer 14

Following??

Answer 15

Now use point slope form to find the equation, then we can convert that into slope intercept form easily..

Getting?? I will tell you how to do this, don't you worry.

Answer 16

Point slope from says:

If a line, x + y = c passes through a point \((x_1, y_1)\) then :

\[y - y_1 = m(x - x_1)\]

Answer 17

*form.

Answer 18

Here I wanna tell you that point is given to you in question ie (-10, 2.5) that is nothing but \(x_1\) and \(y_1\)..

Answer 19

Tell me our line l is passing through a point (-10, 2.5) or not?? If not, then read the question..

Answer 20

yes its supposed to pass through it