• The scale along both the \(x\)- and \(y\)-axis is one unit.
• To determine the rise, we can count the spaces between first \(y\)-coordinate of \(-3\) and the second \(y\)-coordinate of \(5\).
• To determine the run of the line, we can count the spaces between first \(x\)-coordinate of \(-2\) and the second \(x\)-coordinate of \(4\).

Solution

• To calculate the rise, we can find the difference between the two \(y\)-coordinates.
• To calculate the run, we can find the difference between the two \(x\)-coordinates.

Solution

Mathematically, we can write the differences as:

\(\text{rise} = y_2-y_1\)

\(\text{run} = x_2-x_1\)

Solution

• Point 1: \((2,1) \rightarrow (x_1, y_1)\)
• Point 2: \((12,8)\rightarrow (x_2,y_2)\)

Mathematically, we can write the slope as

We can summarize calculating the slope of a line by putting the information into a formula.

Solution

• Point 1: \((-2,-3) \rightarrow (x_1, y_1)\)
• Point 2: \((4,5)\rightarrow (x_2,y_2)\)

Therefore, the slope of the line is equal to \(\dfrac{4}{3}\).