Write an equation in standard form using only integers for a line that passes through the point (4,3) and is parallel to the line:
-10x -2y=-5
Enter A and C where your answer is Ax+y=C

Question

Write an equation in standard form using only integers for a line that passes through the point (4,3) and is parallel to the line:
-10x -2y=-5
Enter A and C where your answer is Ax+y=C

imstuck · Answer

First thing to do is to find the slope of the line they gave you.  Once you know that, you know the slope of the line you are looking for, cuz parallel lines have the same slope.

anonymous · Answer

so i got -5 as the slope

imstuck · Answer

right.  Now use the point they gave you to write an equation in point-slope form.  Can you do that?  This problem takes several steps to get to the answer in the form they want it in.

imstuck · Answer

What is the equation in point-slope form?

anonymous · Answer

oh wait i kow how to do this

imstuck · Answer

I bet you do!  I'll wait for your equation!

anonymous · Answer

yeah the y=mx+b

imstuck · Answer

you have to use the other one first.  That one is slope-intercept, but you need to find it in point-slope first using the point they gave you.

imstuck · Answer

First things first.

anonymous · Answer

oh alright, but wait that's not the question I'm having trouble with, i just answered this one. Do you think you could help me with this one : Write an equation in standard form using only integers for a line that passes through the point (7,6) and is perpendicular to the line:
7x +2y=-4
Enter B and C where your answer is -2x+By=C

imstuck · Answer

sure!  find the slope of this one first.  What is the slope of the line perpendicular to the one they gave you?

anonymous · Answer

-7/2?

imstuck · Answer

Thats the slope of the line they gave you?  What about the slope of the line that is perpendicular to that one?

imstuck · Answer

Do you know the rule for perpendicular lines andd their slopes?

anonymous · Answer

no :/ that's why i am having trouble. i'm not sure how to solve it

imstuck · Answer

Lines that are perpendicular to one another have slopes that are opposite reciprocals.  Meaning if the slope of the line they gave you is -7/2, the line perpendicular to that line has a slope of +2/7.  That's the rule.

imstuck · Answer

It holds true for all lines that are perp. to one another.

anonymous · Answer

alright so what do i do from there?

imstuck · Answer

Now that we found the slope of the line perpendicular to the one they gave you, use the point in the point-slope formula and write the equation using that new slope.

anonymous · Answer

how does that look like?

imstuck · Answer

Here, like this:|dw:1411014969617:dw|