To find the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the formula:
m = \frac{y_2 - y_1}{x_2 - x_1}
Substitute the given points \(A(1,6)\) as \((x_1, y_1)\) and \(B(2,10)\) as \((x_2, y_2)\):
m = \frac{10 - 6}{2 - 1}
Calculate the differences:
m = \frac{4}{1}
So, the slope is:
m = 4
Answer:
m = 4