Respuesta :
Answer:
A
Step-by-step explanation:
y = 4 is a horizontal line parallel to the x- axis with a slope of zero
A line perpendicular to it is a vertical line parallel to the y- axis
The equation of a vertical line is x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (- 2, 1) with x- coordinate - 2, hence
x = - 2 ← equation of perpendicular line → A
Answer:
A. [tex]x=-2[/tex]
Step-by-step explanation:
We are asked to find the equation that is perpendicular to line [tex]y=4[/tex] and passes through the point [tex](-2,1)[/tex].
We can see that our given equation is a horizontal line, which crosses y-axis at point [tex](0,4)[/tex].
Every vertical line is perpendicular to a horizontal line. We know that equation of a vertical line is in form [tex]x=a[/tex], which crosses x-axis at point [tex](a,0)[/tex].
Since we need to find the equation that passes through point [tex](-2,1)[/tex], so our required equation will pass x-axis at [tex]-2[/tex].
Therefore, our required equation would be [tex]x=-2[/tex] and option A is the correct choice.
