Find the equation of the line that is perpendicular to the line y = 4 and passes through the point (−2, 1).
a) x = −2
b) y = −1
c) y = 1
d) x = 2

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

A.

Step-by-step explanation:

We are asked to find the equation that is perpendicular to line and passes through the point .

We can see that our given equation is a horizontal line, which crosses y-axis at point .

Every vertical line is perpendicular to a horizontal line. We know that equation of a vertical line is in form , which crosses x-axis at point .

Since we need to find the equation that passes through point , so our required equation will pass x-axis at .

Therefore, our required equation would be and option A is the correct choice.

step-by-step explanation:

sine

step-by-step explanation: