Check my answer?
Write the equation of the line passing through point (2,-3) and is perpendicular to y=4x+7 in standard form.
I got 4x+y=-11; is it right?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
no again...
hartnn (hartnn):
slope of given line ?
OpenStudy (anonymous):
4
hartnn (hartnn):
yes, so slope of perpendicular line ?
OpenStudy (anonymous):
4/1 ?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
the product of slope of perpendicular lines = -1
hartnn (hartnn):
so m1 * m2 = -1
m1 = 4, m2= ?
OpenStudy (anonymous):
oh 4!
OpenStudy (anonymous):
-4 my bad
hartnn (hartnn):
no, slope of perpendicular line will be negative *reciprocal*
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
so m1*m2 = -1
4m2=-1
m2 = -1/4
ok ?
OpenStudy (anonymous):
ohk sorry I'm not really good at this I just learned this
hartnn (hartnn):
so now u have slope of required line and a point on it, which equation will u use ?
OpenStudy (anonymous):
point-slope form?
y-y1=m(x-x1)
hartnn (hartnn):
thats correct!
so what u get ?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
y-(-3)=-1/4(x-2) ?
hartnn (hartnn):
correct :)
now simplify....
OpenStudy (anonymous):
y-(-3)=-1/4x - idk/: 0.5?
hartnn (hartnn):
(-1/4)(-2) = +2/4 = +0.5
hartnn (hartnn):
y-(-3) = y+3
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
oh wait..
y+3 = -1/4x - 0.5
then would you add -1/4x to the left side?
since I have to write it in standard form?
ax+by=c?
hartnn (hartnn):
1) its y+3 = -1/4x + 0.5
2) yes., add 1/4 x , not -1/4 x
OpenStudy (anonymous):
ohk so ..
1/4x+y+3=0.5
then add subtract 3 on both sides?
hartnn (hartnn):
yes, correct
OpenStudy (anonymous):
1/4x+y=2.5
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
0.5-3 = -2.5
hartnn (hartnn):
or u could first multiply by 4 on both sides
OpenStudy (anonymous):
oh yeah.. sorry.. and oh ohk if i did that it would be x+y=2
hartnn (hartnn):
let me show you steps:
y+3 = -1/4x + 0.5
y+1/4 x +3= 0.5
multiplying 4 on both sides
4y+ x + 12 = 2
now can u solve ahead
OpenStudy (anonymous):
4y+x=14
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
2-12=?
OpenStudy (anonymous):
oh whoops -10
hartnn (hartnn):
you will subtract 12 from both sides, right ?
OpenStudy (anonymous):
yes, sorry
hartnn (hartnn):
so finally, 4y+x=-10
Still Need Help?
Join the QuestionCove community and study together with friends!