Question

The slope of the horizontal line is _______. The equation of the horizontal line passing through (2,3) is _______.(Lesson 1.10)

Short answer

The slope of the horizontal line is 0. The equation of the vertical line passing through$(2,3)$ is $y=3$.

Step-by-step solution

Step 1. Definition of the horizontal line.

A horizontal line is one that goes from left to right across the page.

Step 2. Find the slope of the horizontal line.

A horizontal line does not have a positive slope or negative slope and the slope of a horizontal line will always be 0because it never changes the height.

So, the slope is 0.

Step 3. Find the equation of the horizontal line passing through the point.

We have the point (2,3) and we know that the slope of the horizontal line will always.

So, plug these values in slope-intercept form:$y=mx+b$

$\begin{array}{l}3=0\left(2\right)+b\\ b=3\end{array}$

Now, plug the value of and the slope in:$y=mx+b$

$\begin{array}{l}y=0\cdot x+3\\ y=3\end{array}$

Hence, the equation of the line is $y=3$.