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.