Question

Find the slope of the line which makes intercepts 3 and -4 on the axes
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Answer 1

Answer:

4 / 3

Step-by-step explanation:

Given--->Length of Intercept made by line on axes are 3 and -4 respectively.

To find---> Slope of the line

Solution---> ATQ,

Length of intercept made on x axis = 3

Length of intercept made on y axis = - 4

Equation of line in the intercrpt form is ,

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

Where, Length of intercept on x axis = a

Length of intercept on y axis = b

So, putting , a = 3 and b = -4 in equation (1) , we get,

x / 3 + y / -4 = 1

Multiplying whole equation by 12 , we get

=> 12 ( x / 3 ) + 12 ( y / -4 ) = 12 × 1

=> 4x - 3y = 12

=> - 3y = -4x + 12

=> 3y = 4x - 12

=> 3y / 3 = 4x / 3 - 12 / 3

=> y = ( 4x / 3 ) - 4 .............(2)

We know that slope intercept form is

y = mx + c , where m is slope and c is length of y intercept cut by line

Now comparing equation (1) by , y = mx + c ,we get

m = 4 / 3 , c = - 4

So , slope of line = m

= 4 / 3