The slope of the line passing through the given points is −17 / 20 .
To find the slope of a line passing through two points (x1 ,y1 ) and (x2 ,y2), you can use the formula:
Slope= x2 −x1 / y2 − y1
In your case, the given points are (−5,29) and (15,12), where x1 =−5, y1 =29, x2 =15, and y2 =12.
Now, plug these values into the formula:
Slope= 12−29 / 15−(−5)
Simplify the expression:
Slope= −17 / 20
Therefore, the slope of the line passing through the given points is −17 / 20 .