Question

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.

Answer 1

(i) The given equation is 3x + 2y – 12 = 0.

It can be written as

This equation is of the form, where a = 4 and b = 6.

Therefore, equation (1) is in the intercept form, where the intercepts on the x and y axes are 4 and 6 respectively.

(ii) The given equation is 4x – 3y = 6.

It can be written as

This equation is of the form, where a = and b = –2.

Therefore, equation (2) is in the intercept form, where the intercepts on the x and y axes are and –2 respectively.

(iii) The given equation is 3y + 2 = 0.

It can be written as

This equation is of the form, where a = 0 and b = .

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