# Where is the y-intercept of y=2x+0.5 on a graph?

The y-intercept is obtained by putting $x = 0$ in your equation.
In your case you get $y = 2 \cdot 0 + 0.5$;
$y = 0.5$
The curve represented by your equation (a straight line) intercepts the y-axis at the point of coordinates (0;0.5);