## Equation of line Solution6

In this page equation of line solution6 we are going to see solution of each problem with detailed explanation of the worksheet slope of the line.

(11) Find the equation of the straight line whose x and y-intercepts on the axes are given by

(i) 2 and 3

Solution:

To find the equation of the line whose x and y-intercepts are a and b we have to use the following  formula

(x/a) + (y/b) = 1

Here x -intercept (a) = 2

and y -intercept (b) = 3

(x/2) + (y/3) = 1

(3 x + 2 y)/6 = 1

3x + 2y = 6

3 x + 2 y - 6 = 0

Therefore the required equation of the line is 3 x + 2 y - 6 = 0

(ii) -1/3 and 3/2

Solution:

To find the equation of the line whose x and y-intercepts are a and b we have to use the following  formula

(x/a) + (y/b) = 1

Here x -intercept (a) = -1/3

and y -intercept (b) = 3/2

x/(-1/3) + y/(3/2) = 1

- 3 x + (2 y)/3 = 1

(-9 x + 2 y)/3 = 1

-9 x + 2 y = 3

9 x - 2 y + 3 = 0

Therefore the required equation of the line is 9 x - 2 y + 3 = 0

(iii)  2/5 and -3/4

Solution:

To find the equation of the line whose x and y-intercepts are a and b we have to use the following  formula

(x/a) + (y/b) = 1

Here x -intercept (a) = 2/5

and y -intercept (b) = -3/4

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

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

(15 x - 8 y)/6 = 1

15 x - 8 y = 6

15 x - 8 y - 6 = 0

Therefore the required equation of the line is 15 x - 8 y - 6 = 0

(12) Find the x and y intercepts of the straight line

(i) 5 x + 3 y - 15 = 0

Solution:

To find x and y intercept we have to compare given equation with intercept form (x/a) + (y/b) = 1

5 x + 3 y = 15

Divided by 15 we get,

(5x/15) + (3y/15) = 15/15

(x/3) + (y/5) = 1

x-intercept (a) = 3

y-intercept (b) = 5

(ii) 2 x - y + 16 = 0

Solution:

To find x and y intercept we have to compare given equation with intercept form (x/a) + (y/b) = 1

2 x - y = -16

Divided by (-16) we get,

(2x/(-16)) - (y/(-16)) = (-16)/(-16)

x/(-8) + (y/16) = 1

x-intercept (a) = -8

y-intercept (b) = 16

(iii) 3 x + 10 y + 4 = 0

Solution:

To find x and y intercept we have to compare given equation with intercept form (x/a) + (y/b) = 1

3 x + 10 y = -4

Divided by (-4) we get,

(3 x/(-4)) + (10 y/(-4)) = (-4)/(-4)

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

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

x-intercept (a) = -8

y-intercept (b) = 16

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