ANSWER
The x intercept is
[tex](-12,0).[/tex]
The y intercept is
[tex](0, - 20).[/tex]
EXPLANATION
The equation of the given line is
[tex] - 10x - 6y = 120[/tex]
At x-intercept
[tex]y = 0[/tex]
We substitute this y value to obtain the corresponding x value.
This implies that,
[tex] - 10x - 6(0)= 120[/tex]
[tex] - 10x - 0 = 120[/tex]
[tex] - 10x = 120[/tex]
We divide both sides by -10 to get,
[tex]x = - 12[/tex]
The x-intercept is
[tex](-12,0).[/tex]
At y-intercept also,
[tex]x = 0[/tex]
We substitute this value of x into the equation to find the corresponding y-value.
This implies that,
[tex] - 10(0) - 6y = 120[/tex]
[tex] - 0- 6y = 120[/tex]
[tex] - 6y = 120[/tex]
We divide through by -6 to get,
[tex]y = - 20[/tex]
The y-intercept is
[tex](0,-20).[/tex]
