Question

what is the slope of the line that passes through the points (-7, -10) and (-19, -10)? write your answer in simplest form.

Explanation:

Step1: Recall 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the coordinates

Here, \( x_1=-7 \), \( y_1 = - 10 \), \( x_2=-19 \), and \( y_2=-10 \).

Step3: Substitute into the formula

Substitute these values into the slope formula: \( m=\frac{-10-(-10)}{-19 - (-7)} \).
Simplify the numerator: \( -10-(-10)=-10 + 10 = 0 \).
Simplify the denominator: \( -19-(-7)=-19 + 7=-12 \).
So, \( m=\frac{0}{-12} \).

Step4: Simplify the fraction

Any number divided by a non - zero number is 0 when the numerator is 0. So, \( \frac{0}{-12}=0 \).

Answer:

\( 0 \)