Q1. - Algebra 2

Question

Write an equation of a line with slope $0.$

Step-by-Step Solution

Answer

The required line is $y=a,a\in R.$

Step 1- Given information

Slope of the line is $0.$ $y=a,a\in R.$

Step 2- Formula used

The slope formula m of a line is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Where, $m$ is slope of the line which is passes through the points $(x_1,y_1),(x_2,y_2)\text{ and }{x}_1\ne x_2.$

Step 3- To construct the equation

$m=\frac{y_2-y_1}{x_2-x_1}$

Here, $m=0when{y}_2-y_1=0or{x}_2-x_1=infinite$.

$y_2-y_1=0or{x}_2-x_1=infinite$ when the line is parallel to x-axis.

Hence, the required line is $y=a,a\in R.$