Find the slope of the line that passes through the points (2, 3) and (4, 7). What is the slope?

To find the slope of the line passing through the points (2, 3) and (4, 7), you can use the formula for calculating the slope between two points, which is defined as:

[

m = \frac{y_2 - y_1}{x_2 - x_1}

]

Here, ((x_1, y_1) = (2, 3)) and ((x_2, y_2) = (4, 7)). Substituting these coordinates into the formula gives:

[

m = \frac{7 - 3}{4 - 2}

]

Calculating the differences:

• For the y-coordinates: (7 - 3 = 4)

• For the x-coordinates: (4 - 2 = 2)

Now substitute these values into the slope formula:

[

m = \frac{4}{2} = 2

]

Thus, the slope of the line that passes through the given points is 2. This result indicates that for every 2 units the line rises vertically, it moves 1 unit horizontally from left to right.