Step-by-step explanation:
To find the y-intercept of an equation, you need to determine where the equation crosses the y-axis, or, simply put, where [tex]x = 0[/tex].
Plugging [tex]x = 0[/tex] into the equation gives us the following:
[tex]5x - 10y = 30[/tex]
[tex]5(0) - 10y = 30[/tex]
[tex]-10y = 30[/tex]
[tex]y = -3[/tex]
Therefore, the y-intercept is [tex](0, -3)[/tex].
To find the x-intercept of an equation, you need to determine where the equation crosses the x-axis, or, simply put, where [tex]y = 0[/tex].
Plugging in [tex]y = 0[/tex] into the equation gives us the following:
[tex]5x - 10y = 30[/tex]
[tex]5x - 10(0) = 30[/tex]
[tex]5x = 30[/tex]
[tex]x = 6[/tex]
There, the x-intercept is [tex](6, 0)[/tex].
