Question

4 the slope of the line that passes through points $(-2, 3)$ and $(10, 3)$ is ______. \\(\boldsymbol{\text{a}}\\) undefined \\(\boldsymbol{\text{b}}\\) 4 \\(\boldsymbol{\text{c}}\\) 3 \\(\boldsymbol{\text{d}}\\) 0

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: Assign point values

Let $(x_1,y_1)=(-2,3)$ and $(x_2,y_2)=(10,3)$.

Step3: Substitute into formula

$m=\frac{3-3}{10-(-2)}=\frac{0}{12}$

Step4: Calculate the slope

$\frac{0}{12}=0$

Answer:

D. 0