Find the x and y intercept from the equation of the line x-3y=21

Given
The equation of a line is defined as:
[tex]x\text{ - 3y = 21}[/tex]The x-intercept is the point where y is zero.
When y =0:
[tex]\begin{gathered} x\text{ - 3(0) = 21} \\ x\text{ =21} \end{gathered}[/tex]x-intercept: (21, 0)
The y-intercept is the point where x is zero:
When x = 0:
[tex]\begin{gathered} 0\text{ - 3y = 21} \\ -3y\text{ = 21} \\ \text{Divide both sides by -3} \\ y=\text{ }\frac{21}{-3} \\ y\text{ = -7} \end{gathered}[/tex]y-intercept : (0, -7)
Answer:
x-intercept: (21, 0)
y-intercept : (0, -7)