Can someone help with math problem involving perpendicular lines?

Question

These are three questions on my homework, you can choose which one to solve, and whoever has the best, explained answer will get a best answer, guaranteed!

Write an equation of the line that is perpendicular to the given line and passes through the given point.

1) y= 2x - 1, ( 2, 4 ) 2) y= -1/3x + 2, (5,1) 3) y= 4x + 5, (4,3)

Answer 1

I'll solve the 1st and you can solve the rest.

1) y= 2x - 1; ( 2,4)

First: the slope is a fraction/whole number beside the x-variable . specifically, in front of the x-variable. In this case, the slope is...

slope = 2

Sec: a line that has a slope perpendicular to the line given in the problem, the slope is the opposite of 2 which is, -1/2. You have to change the sign and flip the fraction.

Third: place the perpendicular slope (-1/2) and the point (2,4) in the point-slope formula >

>> y - first y = m(x - first x)

y - 4 = (-1/2)(x - 2)

y - 4 = (-1/2)(x) - (1/2)(-2)

y - 4 = -x/2 - (-2/2)

y - 4 = -x/2 - (-1)

y - 4 = -x/2 + 1

Third: isolate "y" on one side > add "4" to both sides....

y - 4 + 4 = -x/2 + 1 + 4

y = -x/2 + 5

Answer 2

If the slope of a line is m,the slope of the perpendicula would be
-1/m

1) y= -1/2x +n Passing through (2,4) 4=-1+n n=3
y=-1/2x +x+3
2) y=3x+n 1=15+n n=-14
y=3x-14

3) y=-1/4 x +n 3= -1+n n= 4

y= -1/4 x +4

Answer 3

A pependicular line has a negative reciprocal slope so for 1y=2x-1 the neg, reciprocal of 2 is -1/2, Now use the point slope form: y-y1=m(x-x1) with the given point(2,4) and substitute your new slope of (-1/2):
y-4=(-1/2)(x-2): simplify: y -4= (-1/2)x +1; add 4 to both sides and voila! y+ (-1/2)x +5.
Now it is your turn-the rest are just as easy, good luck!

Answer 4

Equation of line turning out to be a member of (a million,2) and (b,6) is y - 2 = [(6-2)/(b-a million)]*(x-a million) for this reason slope of the above line is 4/(b-a million). For any line perpendicular to above line, the slope may be the unfavourable reciprocal of four/(b-a million) for this reason, slope of perpendicular = (a million-b)/4 if y = ax + 14 is a perpendicular bisector, then (a million-b)/4 = a or 4a + b = a million for this reason, any a and b which satisfies above equation is a permitted answer.

Answer 5

the slope of a perpendicular line is equal to the negative reciprocal of the line it is perpendicular to. That means slope1 x slope 2 = -1 this shows that the slope of question 1 is -.5. now you use point slope form which is y-y1=m(x-x1). y1 is the y-value of one point on the line and x1 is the x value of the same point on that line. m is the slope. you get
1) y-4=-.5(x-2)
2) y-1=3(x-5)
3) y-3=-.25(x-4)

Answer 6

Sorry, I won't give you answer but these links should help.

Answer 7

hell no