The slope of the line that passes through the points (6,h) and (0,11) is -2/3. what is the value of h?

Since we are given a slope, we will be using the slope formula: m=(y2-y1)/(x2-x1). However, instead of solving for m, we will be solving for h or y1 in the formula. First, you need to plug in all the values you have: -2/3=(11-h)(0-6). Then you can cross multiply to get 12=3(11-h). Then, divide both sides by 3 to get 4=11-h. Then, subtract 11 from both sides to get -7=-h. Lastly, divide both sides by -1 to get h=7 which is the final answer. 

I hope this helps.