Question

find the intercepts made by the line 3x-7y=1 on the coordinate axes​

Answer 1

Given :

• Equation of a line : 3x-7y= 1

To find :

• x and y intercepts made by the line on the coordinate axes.

Solution :

To find x intercept made by the line on the coordinate axes put y = 0 in the equation 3x-7y= 1

$\implies \: 3x - 7(0) = 1$

$\implies \: 3x - 0 = 1$

$\implies \: 3x = 1$

$\implies \: x = \dfrac{1}{3}$

Therefore x intercept = 1/3

To find y intercept made by the line on the coordinate axes put x = 0 in the equation 3x-7y= 1

$\implies \: 3(0) - 7y = 1$

$\implies \: 0- 7y = 1$

$\implies \: 7y = - 1$

$\implies \: y = \dfrac{ - 1}{7}$

Therefore y intercept = -1/7