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Maslowich
3 years ago
10

An equation of a line perpendicular to the line represented by the equation y = -

Mathematics
2 answers:
Rasek [7]3 years ago
8 0

Answer:

y=2x-8

Step-by-step explanation:

First, remember that perpendicular lines have opposite and reciprocal slopes to the original line. That means for this line, your slope will be 2 (flip the fraction and change the sign). So we have:

y=2x+b

Next, plug in the point that it passes through in order to find the y-intercept (b).

4=2(6)+b

4=12+b

b=-8

So your equation will be:

y=2x-8

Hope this helped!

dem82 [27]3 years ago
3 0

Answer:

y= 1/2x+1

Step-by-step explanation:

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for what value of k, the line joining 3x-ky+7=0 is perpendicular to the line joining (4 ,3) and ( 5, -3).
Schach [20]

Answer:

  • k = 18

=========

<h2>Given</h2>

<h3>Line 1</h3>
  • 3x - ky + 7 = 0

<h3>Line 2</h3>
  • Passing through the points (4, 3) and (5, - 3)

<h2>To find</h2>

  • The value of k, if the lines are perpendicular

<h2>Solution</h2>

We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.

Find the slope of line 1 by converting the equation into slope-intercept from standard form:

<u><em>Info:</em></u>

  • <em>standard form is ⇒ ax + by + c = 0, </em>
  • <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>

  • 3x - ky + 7 = 0
  • ky = 3x + 7
  • y = (3/k)x + 7/k

Its slope is 3/k.

Find the slope of line 2, using the slope formula:

  • m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6

We have both the slopes now. Find their product:

  • (3/k)*(- 6) = - 1
  • - 18/k = - 1
  • k = 18

So when k is 18, the lines are perpendicular.

4 0
2 years ago
1. From the statement select the related given statement.
solong [7]

1. Line l; point P not on l.( Take a line I and mark point P outside it or on the line.So from point P there are infinite number of lines out of which only one line is parallel to line I. Suppose you are taking point P on line I, from that point P also infinite number of lines can be drawn but only one line will be coincident or parallel to line I.

2. Plane R is parallel to plane S; Plane T cuts planes R and S.(Imagine you are sitting inside a room ,consider two walls opposite to each other as two planes R and S and floor on which you are sitting as third plane T ,so R and S are parallel and plane T is cutting them so in this case their lines of intersect .But this is not possible in each and every case, suppose R and S planes are parallel to each other and Plane T cuts them like two faces of a building and third plane T is stairs or suppose it is in slanting position i.e not parallel to R and S so in this case also lines of intersection  will be parallel.

3. △ABC with midpoints M and N.( As you know if we take a triangle ABC ,the mid points of sides AB and AC being M and N, so the line joining the mid point of two sides of a triangle is parallel to third side and is half of it.

4.Point B is between points A and C.( Take a line segment AC. Mark any point B anywhere on the line segment AC. Three possibilities arises

(i) AB > BC (ii) AB < BC  (iii) AB = BC

Since A, B,C are collinear .So in each case  AB + BC =AC

5 0
3 years ago
Read 2 more answers
Solve for x and round to the nearest tenth
Kruka [31]

Answer:

i think its 18 :))

8 0
3 years ago
Is the given number a solution of the equation?<br> 8=2+3; 10
kykrilka [37]

Answer:

No.

Step-by-step explanation:

8 doesn't equal 0 on the very right, which means it's not a solution to the equation.  So therefore, it is false based on the equation.

7 0
3 years ago
Solve this equation for k.<br><br> 3 − 3k + 7k = 5b<br><br> Enter the correct answer in the box.
Sloan [31]

Answer:

k=5b/4−3/4

Step-by-step explanation:

3-3k+7k=5b

Isolate the variable by dividing each side by factors that don't contain the variable.

k=5b/4−3/4

-hope it helps

8 0
2 years ago
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