Aline that includes the point (0,10) has a slope of 9 . what is it’s equation in slope- intercept form?

A point in the form of (0, number) is the y - intercept. That's because there is movement in the x -direction and the point is plotted on the y -axis. Our number in the ordered pair is the y-intercept - in this case, 10.

Slope intercept form is y = mx + b where m is the slope and b is the y-intercept.  We are told the slope is 9 and we found the y-intercept, 10. 9 goes in for m, 10 goes in for b.

Thus the line (in slope intercept form) is y = 9x + 10.