anonymous
  • anonymous
What is the equation of the line that passes through the point (4, 1) and is perpendicular to the line y = –2x + 4?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Mertsj
  • Mertsj
Do you know point-slope form of the equation of a line?
anonymous
  • anonymous
no i dont know any algebra im trying to help my sister finish her assignments. shes in the hospital. i dont need anyone to teach me anything i just dont want her to fail. any good answers anyone has is greatly appreciated
Mertsj
  • Mertsj
Sorry. It is contrary to the code of conduct to just post answers. Too many kids try to avoid learning that way.

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anonymous
  • anonymous
could u show me how to work it out then? dont want anyone to get in trouble.
Mertsj
  • Mertsj
\[y-y _{1}=m(x-x _{1})\]
anonymous
  • anonymous
First, determine the slope of the given line. x + 2y = 6 Solve for y to get this in slope-intercept form. Remember to switch signs when you switch sides. 2y = -x + 6 Divide all terms on both sides by 2. y = -0.5 x + 3 So the slope of the given line is the coefficient of x, which is -0.5 = -1/2 The slope of a perpendicular line is the negative reciprocal of that slope, which would be 2. Use the point-slope form to build the equation with the point (4,2) y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. y - 2 = 2(x - 4) This is an equation that satisfies the question. To get this into slope-intercept form, expand, simplify and solve for y. y = 2x - 8 + 2 y = 2x - 6
Mertsj
  • Mertsj
That is point-slope form. The given line has slope -2 so the perpendicular has slope 1/2 replace y1with 1, m with 1/2 and x1 with 4 and simplify. That will be the equation of the desired line.
anonymous
  • anonymous
Yep, take it with a little grain of salt
anonymous
  • anonymous
so what do i have to simplify exactly?
anonymous
  • anonymous
|dw:1338928449474:dw|
anonymous
  • anonymous
and make y the subject of the formula
Mertsj
  • Mertsj
To simplify, distribute the 1/2 and then add 1 to both sides.
anonymous
  • anonymous
y = 1/2x- 1??
Mertsj
  • Mertsj
Very good!!
Mertsj
  • Mertsj
I knew you could do it.

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