Final answer:
To find the value of x when the slope of a line is 5 and the points are (-4,12) and (x,5), we can use the slope formula.
Step-by-step explanation:
To find the value of x when the slope of a line is 5 and the points are (-4,12) and (x,5), we can use the slope formula. The slope formula is given by: m = (y2 - y1) / (x2 - x1). Substituting the given values, we have: 5 = (5 - 12) / (x -(-4)). Solving for x, we get: 5(x + 4) = -7. Simplifying, we have: 5x + 20 = -7. Subtracting 20 from both sides, we have: 5x = -27. Dividing both sides by 5, we get: x = -27/5.