Find an equation of the line that satisfies the given condition. (let x be the independent variable and y be the dependent variable.) the line passing through (−6, 4) and parallel to the x-axis.

y = 4

Step-by-step explanation:

A line parallel to the x-axis has the same value of the dependent variable (y) for all the values of the independent variable (x).  Hence, the line would be an horizontal line that  passes through the y-axis and never meets the x-axis. Since this line satisfies the condition of passing through the coordenates (x,y), (-6,4), then the equation is equal to the value of the coordinate y.  

 

Therefore, the equation of a line that satisfies these two conditions is y = 4.