Question

introduction to slope - item 32607
use the coordinates of the plotted points to complete the calculation below. pay attention to negative signs.
(graph with points (2, 2) and (4, 1) on a line)
slope = (change in y)/(change in x) = (□ - 2)/(4 - □)

Explanation:

Step1: Identify y-coordinate of second point

The two points are \((2, 2)\) and \((4, 1)\). For change in \(y\), we use the \(y\)-coordinate of the second point (4,1), which is \(1\). So the numerator is \(1 - 2\).

Step2: Identify x-coordinate of first point

For change in \(x\), we use the \(x\)-coordinate of the first point (2,2), which is \(2\). So the denominator is \(4 - 2\).

Answer:

The first yellow box (change in \(y\) numerator) is \(1\), the second yellow box (change in \(x\) denominator) is \(2\). So filling in: \(\frac{1 - 2}{4 - 2}\) (numerator: \(1\), denominator: \(2\))