Question

Find the equation of the line satisfying the given conditions:

passes through the point (2, -3) and is perpendicular to the line x = -7

A) y = -7
B) y = 3
C) y = -3
D) x = -7

Answer 1

C) y = -3

Explanation:

In order to find the equation of a line satisfying the given conditions, we'll use the point-slope form of a line, which is given by:

`\boxed{\tt y - y_1 = m(x - x_1)}`

Where (x1, y1) is a point on the line and m is the slope of the line.

In this case,

we have a line perpendicular to x = -7, which is a vertical line. The slope of a vertical line is undefined.

Therefore, the slope of the line perpendicular to it is 0.

We are given that the line passes through the point (2, -3).

Plugging these values into the point-slope form, we have:

y - (-3) = 0(x - 2)

y + 3 = 0

y = -3

Therefore, the equation of the line satisfying the given conditions is:

y = -3

So the correct option is: C) y = -3