Question

find the slope of the graphed line.
(0, 3)
(-4, 0)
o
x
a) \\(\frac{4}{3}\\)
b) \\(\frac{3}{4}\\)
c) \\(-\frac{4}{3}\\)
d) \\(-\frac{3}{4}\\)

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 the points

We have two points: \((-4, 0)\) and \((0, 3)\). Let \((x_1, y_1)=(-4, 0)\) and \((x_2, y_2)=(0, 3)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{3 - 0}{0 - (-4)}=\frac{3}{4} \).

Answer:

B) \(\frac{3}{4}\)