Question

Find the x and y intercept of the line -10x-6y=120

Answer 1

ANSWER

The x intercept is


`(-12,0).`



The y intercept is

`(0, - 20).`



Step-by-step explanation

The equation of the given line is


`- 10x - 6y = 120`



At x-intercept

`y = 0`



We substitute this y value to obtain the corresponding x value.



This implies that,



`- 10x - 6(0)= 120`





`- 10x - 0 = 120`



`- 10x = 120`


We divide both sides by -10 to get,


`x = - 12`
The x-intercept is


`(-12,0).`


At y-intercept also,

`x = 0`



We substitute this value of x into the equation to find the corresponding y-value.



This implies that,


`- 10(0) - 6y = 120`



`- 0- 6y = 120`



`- 6y = 120`


We divide through by -6 to get,


`y = - 20`


The y-intercept is

`(0,-20).`