Final answer:
The slope of the line that passes through (-2,5) and (7,12) is calculated using the rise over run formula and is found to be 7/9.
Step-by-step explanation:
To find the slope of a line that passes through the points (-2,5) and (7,12), we use the formula for slope, which is the difference in y-value (the rise) divided by the difference in x-value (the run) of two points on a straight line. The formula to calculate slope (m) is:
m = (Y2 - Y1) / (X2 - X1)
Substituting our points' coordinates into the formula gives us:
m = (12 - 5) / (7 -(-2))
m = 7 / 9
So, the slope of the line that passes through the given points is 7/9.