Final answer:
The slope of the line passing through the points (0,6) and (14,21) is calculated using the slope formula m = (Y2 - Y1) / (X2 - X1), which gives us a slope (m) of approximately 1.0714.
Step-by-step explanation:
To calculate the slope for the points (0,6) and (14,21), we use the slope formula, which is m = (Y2 - Y1) / (X2 - X1). Plugging in the values from the points we get:
Numerator (Y2 - Y1) = 21 - 6
Denominator (X2 - X1) = 14 - 0
m = (21 - 6) / (14 - 0)
Now, we calculate the value of the numerator and the denominator:
Numerator = 15
Denominator = 14
Therefore, the slope (m) is:
m = 15 / 14
m = 1.0714
So, the slope of the line passing through the points (0,6) and (14,21) is approximately 1.0714.