christina166
  • christina166
Write an equation of a line perpendicular to line CD below in slope-intercept form that passes through the point (−1, 6). Point C is at (1,1) and point D is at (3,5)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
christina166
  • christina166
@ganeshie8 Please help me!
AlexandervonHumboldt2
  • AlexandervonHumboldt2
First of all we need to find the slope of given line and its equation.
christina166
  • christina166
So we use the slope formula?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

AlexandervonHumboldt2
  • AlexandervonHumboldt2
To do this we use slope formula: \[\frac{ y_1-y_2 }{ x_1-x_2 }=\frac{ 1-5 }{ 1-3 }=\frac{ -4 }{ -2 }=2\]
AlexandervonHumboldt2
  • AlexandervonHumboldt2
the slope of the given line is 2
AlexandervonHumboldt2
  • AlexandervonHumboldt2
slopes of perpendicular lines are negative reciprocals
AlexandervonHumboldt2
  • AlexandervonHumboldt2
what is a negative reciprocal to 2?
christina166
  • christina166
don't the prduct of their slopes always -1
AlexandervonHumboldt2
  • AlexandervonHumboldt2
they are but to find the equation we need to find a negative reciprocal
christina166
  • christina166
-0.5
AlexandervonHumboldt2
  • AlexandervonHumboldt2
yeah but we will better write it as -1/2
christina166
  • christina166
Oh sorry.
AlexandervonHumboldt2
  • AlexandervonHumboldt2
so we have y=mx+b y=-1/2x+b now substitute the point and solve: 6=-1/2*(-1)+b 6=1/2+b b=?
christina166
  • christina166
Wait what do we substitute B with, its 2 right sorry im really stupid
AlexandervonHumboldt2
  • AlexandervonHumboldt2
look: y=mx+b where m is slope: m=-1/2 y=-1/2x+b now we need to solve for y-intercept (b). to do this we substitute the point: 6=-1/2*(-1)+b b=?
christina166
  • christina166
OHHH I GET IT NOW THANK YOU!!!
AlexandervonHumboldt2
  • AlexandervonHumboldt2
yeah so we solve for b and then get equation y=-1/2x+?
christina166
  • christina166
the answer is y=2x-13
AlexandervonHumboldt2
  • AlexandervonHumboldt2
nooooooooo
AlexandervonHumboldt2
  • AlexandervonHumboldt2
why you changed -1/2 to 2?
christina166
  • christina166
Oh because don't we bring it over to the other side so it changes to 2
AlexandervonHumboldt2
  • AlexandervonHumboldt2
noonon we found a slope of given line: 2 then we found slope of line perp to it: -1/2 thus we have y=-1/2+b 6=-1/2*(-1)+b b=6-0.5=5.5 we get y=-1/2x+5.5
christina166
  • christina166
OHHHHH I feel stupid lol THANKS!!!

Looking for something else?

Not the answer you are looking for? Search for more explanations.