Question

slope practice

Explanation:

Let's assume we are finding the slope for Graph 1 (first graph in the top - left).

Step 1: Identify two points on the line

Looking at Graph 1, let's take the points \((0, - 2)\) and \((1, - 6)\) (we can also use other points, but these are easy to identify from the grid). The general formula for slope \(m\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step 2: Apply the slope formula

Substitute \(x_1 = 0,y_1=-2,x_2 = 1,y_2=-6\) into the formula. So \(m=\frac{-6-(-2)}{1 - 0}=\frac{-6 + 2}{1}=\frac{-4}{1}=-4\).

(If we were to solve for another graph, say Graph 3 (top - middle - right, horizontal line). For a horizontal line, the change in \(y\) (\(\Delta y\)) is 0. Let the two points be \((-4,2)\) and \((4,2)\). Then \(m=\frac{2 - 2}{4-(-4)}=\frac{0}{8}=0\))

Answer:

(For Graph 1) The slope is \(- 4\); (For Graph 3) The slope is \(0\) (depending on which graph's slope you want to calculate. If you need a specific one, please clarify the graph number)