Respuesta :

Answer:

h = 15

Step-by-step explanation:

To find the value of h, we can use the formula for calculating the gradient (or slope) of a line between two points:  gradient = (change in y) / (change in x)  Given the two points (-8, -9) and (-2, h), we can substitute the coordinates into the formula:  4 = (h - (-9)) / (-2 - (-8))  Simplifying the equation, we have:  4 = (h + 9) / 6  To isolate h, we can multiply both sides of the equation by 6:  4 * 6 = h + 9  24 = h + 9  Subtracting 9 from both sides, we find:  h = 24 - 9  h = 15  Therefore, the value of h is 15.