We know that the slope formula is y=mx+b. We also know that b=y-intercept. The y-intercept is the location where the line crosses the y-axis on a coordinate plane.
In the equation y=8/13x+7 we know that 7 is the y-intercept. 7 on a coordinate plane is also known as (0,7) when measured on the y-intercept.
Therefore the y-intercept of that equation is: (0,7)