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
$(0, - 20).$



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
$(0,-20).$