Final answer:
To find the value of x, we can use the formula for finding the slope between two points: slope = (y2 - y1) / (x2 - x1). In this case, the slope is -2, and the two points are (6, -15) and (x, -19). Plugging in the values, we can determine that x = 8.
Step-by-step explanation:
To find the value of x, we can use the formula for finding the slope between two points: slope = (y2 - y1) / (x2 - x1). In this case, the slope is -2, and the two points are (6, -15) and (x, -19). Plugging in the values, we have -2 = (-19 - (-15)) / (x - 6). Simplifying the equation, we get -2 = -4 / (x - 6). Cross multiplying, we have -2(x - 6) = -4. Distributing, we get -2x + 12 = -4. Solving for x, we subtract 12 from both sides to get -2x = -16, and then divide by -2 to get x = 8.