Question

the equation of the line is x = 1.5, and has a slope of zero. the equation of the line is x = 1.5, and has an undefined slope. the equation of the line is y = 1.5, and has a slope of zero. the equation of the line is y = 1.5, and has an undefined slope.

Explanation:

Step1: Identify the line type

The line is horizontal. Horizontal lines have the form $y = k$, where $k$ is a constant.

Step2: Determine the $y$-value

The line passes through $y = 1.5$. So the equation of the line is $y=1.5$.

Step3: Calculate the slope

The slope $m$ of a line is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. For a horizontal line, $y_1=y_2$, so $m = 0$.

Answer:

The equation of the line is $y = 1.5$, and has a slope of zero.