Answer:
The x-axis is a horizontal line with the equation y = 0. The line parallel to the x-axis through the given point is y = 4, which is another horizontal line which has a slope of 0, which is true of any horizontal line.
Step-by-step explanation:
the equation of a line that is parallel to x = -5 and that passes through the point (1,4) is [tex]x=1[/tex]
Given :
we need to find the equation of a line that is parallel to x = -5 and that passes through the point (1,4).
When the lines are parallel to each other then the slopes are equal
Slope of given equation [tex]x=-5[/tex] is undefined
So the slope of parallel line is also undefined.
When slope is undefined then the equation of the line is [tex]x=x_1[/tex]
The line passes through the point (1,4)
[tex]x_1=1\\x=1[/tex]
the equation of a line that is parallel to x = -5 and that passes through the point (1,4) is [tex]x=1[/tex]
Learn more : brainly.com/question/20692709
