Get premium membership and access questions with answers, video lessons as well as revision papers.

Line L1 passes through the points A (1,2) and B (3, -4). Find the equation of L2 passing through the mid-point of AB and perpendicular to L1, leaving your answer in the form ax+by+c=0

      

Line L1 passes through the points A (1,2) and B (3, -4). Find the equation of L2 passing through the mid-point of AB and perpendicular to L1, leaving your answer in the form ax+by+c=0

  

Answers


Anthony
L1 passes through points A(1,2) and B(3,-4)

STEP 1

Find the gradient of L1

Gradient=dy/dx;
(-4-2)/(3-1)=-2
Gradient of L1 us -2

STEP 2

L2 is passing through the midpoint of AB;
Find the magnitude of AB by adding the contents of y in both points and contents of x in both points,then divide by 2 to get the midpoint

A+B=(1)+(3)
2 -4
A+B=(4)
-2
The midpoint =(4,-2)

STEP 3

Find the gradient of L2 perpendicular to L1

Gradient1xGradient2=-1(known)

Gradient1=-2
Gradient2=m;

-2m=-1
Divide by 2
m=1/2

STEP 4

Find the equation of L2 using the midpoint (2,-1) and gradient 1/2

{y-(-1)}/(x-2)=1/2

y+1/x-2=1/2

Cross multiply;

2y+2=x-2

Leaving your answer in form of ax+by+c=0;

x-2y=0...ans
muchira101 answered the question on February 14, 2019 at 11:01


Next: Mutua has 21 coins. The total value of the coins is Kshs. 72. There are half as many ten shillings coin as there are five shilling coins. If the rest are one shilling coin, find the number of five shilling coins mutual has.
Previous: The average lap time for 3 athletes in a long distance race is 36 seconds, 40 seconds and 48 seconds respectively.

View More Mathematics Questions and Answers | Return to Questions Index


Learn High School English on YouTube

Related Questions