To find the slope of the line that passes through the points (0, 32) and (100, 212), we can use the formula for slope, which is:
slope (m) = (y2 – y1) / (x2 – x1)
In our case, the coordinates are:
- (x1, y1) = (0, 32)
- (x2, y2) = (100, 212)
Substituting the values into the formula gives us:
m = (212 – 32) / (100 – 0)
This simplifies to:
m = 180 / 100
Further simplifying this fraction:
m = 1.8
Thus, the slope of the line that connects the two points (0, 32) and (100, 212) is 1.8. This means that for every unit increase in the x-direction, the y-value increases by 1.8 units.