HERE, WE DISCUSS FEW PROBLEMS ON HOW TO CALCULATE EQUATION OF A LINE . THE FORMULAE USING THE TANGENT OF THE INCLINATION OF THE LINE AND THE TWO POINT FORM ARE DISCUSSED. THIS IS USEFUL FOR GRADE 10 AND GRADE 11 MATH STUDENTS AND STUDENTS PREPARING FOR THE GRE (QUANT), SAT AND ACT

1. GRADE 11 MATH
GRADE 10 MATH

2. PREVIEW:
THIS VIDEO ILLUSTRATES HOW TO CALCULATE EQUATION OF A LINE .
THE SLOPE INTERCEPT FORM AND THE TWO POINT FORM ARE
ILLUSTRATED.
PROBLEMS INVOLVING EQUATION OF THE MEDIAN AND ALTITUDE OF A
TRIANGLE ARE ALSO EXPLAINED.
SO WATCH THIS ENTIRE VIDEO WITH ME!

3. Equation of a line passing through 2 points
Find the equation of a line passing through (-1,1) and parallel to the line joining
(2,3) and (4, -1)

4. y-1 =-2 ( x+ 1)
y -1 = -2x -2
y = -2x -1
Question 2
Find the equation of the straight line joining the points (2,3) and (4, 1)
y -3 = -1 ( x-2)
y -3 = - x + 2
y + x = 5

5. Question 3
Find the equation of the line through (2 , - 5) and making an intercept of -3 on the y axis
y + 3 = - 1 ( x)
y + x + 3 = 0
The line passes through ( 0 , -3 )

6. Question 4
If the points (1 , 4), (3, -2 ) and (p , -5 ) lie on a straight line, find p
y – 4 = - 3 x + 3
y = - 3 x + 7
3 p =12
p = 4
-5 = - 3p + 7

7. If A (10,4), B (-4,9) , C(-2,-1) are the vertices of triangle ABC,find the
equation of the
Median through A
Altitude through B
A(10,4)
B(-4,9) (-3,4)
D

8. If AD is the median
Slope of AD =0
Equation of median is y =4
To find equation of the altitude through B, we first calculate
= Slope of AC
= Slope of BD
5 y – 45 = - 12x – 48
5y + 12x + 3 = 0

9. Question 6
Write the coordinates of the circumcentre of the circle whose vertices are (0,0), (6,0) (0,8)
For a right angled triangle the circumcenter is
The midpoint of the hypotenuse
Circumcenter is
(3,4)

10. Question 7
If
Are perpendicular to each other find. k
4x +3y – 60 =0
3y = -4x +60

12. From 1 and 2

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