Reduce the following equations into intercept form and find their intercepts on the axes.

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asked Feb 8, 2018 in Mathematics by Rohit Singh (61,782 points) 35 133 357
Reduce the following equations into intercept form and find their intercepts on the axes.
(i) 3x + 2y – 12 = 0

(ii) 4x – 3y = 6

(iii) 3y + 2 = 0.

1 Answer

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answered Feb 8, 2018 by sameer (82,980 points) 5 11 37

(i) The given equation is 3x + 2y – 12 = 0.
It can be written as

This equation is of the form,  x/a + y/b=1

where a = 4 and b = 6.

(ii) The given equation is 4x – 3y = 6.
It can be written as

The equation is of the form,  x/a + y/b =1 , where a = 0 and b = -2/3

Therefore, equation (3) is in the intercept form, where the intercept on the y-axis -2/3 is and it has no intercept on the x-axis.

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