Question

10 multiple choice 10 points what is the slope of the line through the points (0, 3) and (5, 0)? hint: dont forget to plot the points in desmos and determine if the slope is positive or negative. \\(\frac{3}{5}\\) \\(\frac{3}{5}\\) \\(-\frac{3}{5}\\) \\(-\frac{5}{3}\\) \\(\frac{5}{3}\\)

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify points

Let \( (x_1, y_1)=(0, 3) \) and \( (x_2, y_2)=(5, 0) \).

Step3: Substitute into formula

\( m=\frac{0 - 3}{5 - 0}=\frac{-3}{5}=-\frac{3}{5} \).

Answer:

\(-\frac{3}{5}\) (corresponding to the option with \(-\frac{3}{5}\))