Question

a horizontal line has a slope of

a vertical line has a slope of

question 12
5 pts
the important rule for solving inequalities, that we dont worry about with equations is.....
if we divide or multiply by a negative, we use an open circle
if we subtract or add negative, we use a closed dot
none of the above, inequalities are solved the same way as equations

Explanation:

Step1: Recall 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: Analyze horizontal line

For a horizontal line, the \( y \)-coordinates of all points are the same, so \( y_2 - y_1 = 0 \). Then \( m=\frac{0}{x_2 - x_1}=0 \) (assuming \( x_2
eq x_1 \), but for horizontal line, \( x \) can vary, \( y \) is constant).

Step3: Analyze vertical line

For a vertical line, the \( x \)-coordinates of all points are the same, so \( x_2 - x_1 = 0 \). Then \( m=\frac{y_2 - y_1}{0} \), which is undefined (division by zero is not allowed).

Answer:

A HORIZONTAL line has a slope of \( 0 \).
A VERTICAL line has a slope of undefined.