Question

Choose the equation of the line in slope-intercept form.

Perpendicular to the X-axis and has the point (3,4)
A. y = 3
B. y = 4
C. x = 3
D. x = 4

Answer 1

C) x = 3

Explanation:

Equation of a line in slope-intercept form: y = mx + b

(where m is the slope (gradient) and b is the y-intercept)

If the line is perpendicular to the x-axis, the line will be parallel to the y-axis (vertical). We are told that the line passes through point (3, 4). Therefore, the line will never intercept the y-axis and so the y-intercept is zero. Also, all the values of x = 3

So the equation of the line is: x = 3