find the equation of a line that is parallel to the line x=10 and the point (-4,4). The equation of the parallel line is ?



Answer :

[tex]x = 10[/tex] includes all points where x = 10. This would be a vertical line from 10 on the x axis, as it doesn't matter what the y is, it will still fit on that line.

Lines parallel to one another have the same slope, so the line we're looking for is also just going to be vertical. And we want it to pass through (-4, 4). Since the x value of (-4, 4) is -4, that line is going to be [tex]\boxed{x=-4}[/tex].

Refer to the diagram for clarification. Blue line is x=10, orange point is (-4, 4), and redl ine is x=-4.

View image RedRicin