The y-intercept refers to the y-coordinate value of the point on a line where the line intersects the y-axis.
For a line written in slope-intercept form, such as y=mx+b, the value of b is the y-intercept. For your problem, y=-10x+14, the y-intercept is 14. You could refer to the y-intercept as an ordered pair (0,14). The x-coordinate is 0 because that is the value of x for any point on the y-axis.