Step-by-step explanation:
[tex]10x + 5y = 30 \\ - 10x \: \: \: - 10x[/tex]
[tex]5y = - 10x + 30[/tex]
[tex] \frac{5y}{5} = \frac{ - 10x}{5} + \frac{30}{5} [/tex]
[tex]y = - 2x + 6[/tex]
y-intercept is 6. use the formula
[tex]y = mx + b[/tex]
b is the y-intercept