The slope of a line is $-2$ and its $x$-intercept is $(5,0).$ What is the $y$-intercept point of the line? Express your answer as an ordered pair.
I know that the slope-intercept form of a line is $y = mx + b,$ where $m$ is the slope and $b$ is the $y$-intercept. I also know that the $x$-intercept of a line is the point where $y = 0,$ so I can plug in $(5,0)$ into the slope-intercept form and solve for $b.$ Doing that, I get $0 = -2 \cdot 5 + b,$ which simplifies to $b = 10.$ Therefore, the $y$-intercept point of the line is $(0,10).$ 