Chapter 4.3, Problem 1GP

To determine

To find the equation of line in slope-intercept form.

Answer to Problem 1GP

  $y=-1$

Explanation of Solution

Given:

Line passing through the point $\left(4,-1\right)$ and is parallel to x-axis.

Concept used:

Parallel lines have same slope.

Equation of a line passing through the point $\left(x_1,y_1\right)$ with slope m is $y-y_1=m\left(x-x_1\right)$ .

Calculation:

Slope of x-axis is 0.

Since the required line is parallel to x-axis, therefore the slope of required line is also 0.

Hence equation of the line passing through the point $\left(4,-1\right)$ with slope 0 is,

  $\begin{array}{l}y-\left(-1\right)=0\left(x-4\right)\\ \Rightarrow y+1=0\\ \Rightarrow y=-1\end{array}$