Question

problem 6
here are two points: $(-3,4)$, $(1,7)$. what is the slope of the line between them?
a. $\frac{4}{3}$
b. $\frac{3}{4}$
c. $\frac{1}{6}$
d. $\frac{2}{3}$

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 coordinates

Let \((x_1, y_1)=(-3, 4)\) and \((x_2, y_2)=(1, 7)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{7 - 4}{1 - (-3)}=\frac{3}{4} \).

Answer:

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