Question

what is the slope of this line? (with a coordinate grid and a line plotted)

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, 10)\) and \((5, 0)\) (we can also use other points, but these are clear). Let's take \((x_1, y_1)=(0, 10)\) and \((x_2, y_2)=(5, 0)\).

Step2: Use the slope formula

The slope \(m\) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Substituting the values of the points into the formula:
\(m=\frac{0 - 10}{5 - 0}\)

Step3: Calculate the slope

Simplify the numerator and the denominator:
\(m=\frac{- 10}{5}=-2\)

Answer:

\(-2\)