Chapter 1, Problem 19RE

In Problems 18-25, find an equation of the line having the given characteristics. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer. Graph the line.

$\text{Slope }=0$; containing the point $(-5,4)$

To determine

To find: The equation of a line having slope 0 undefined and containing the point $\left(-5,4\right)$. To also sketch a graph of the equation.

Answer to Problem 19RE

Solution:

The general form of equation of the line is $y=-4$.

Explanation of Solution

Given:

The slope of the line is undefined and containing the point $\left(-5,4\right)$

Formula used:

Point slope form of an equation of a line.

$(y-y₁)=m(x-x₁)$

Calculation:

$\left(y-4\right)=\left(\text{0}\right)\left(x-\left(-5\right)\right)$

$y-4=0$

$y=4$

The general form of equation of the line is $y=4$.