Question

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

Perpendicular to the y-axis and has the point (-4,5).

A. y = -4
B. x = -4
C. y = 5
D. x = 5

Answer 1

C) y = 5

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 y-axis, the line will be parallel to the x-axis (horiztonal) and so the slope is zero.

Therefore, y = (0)x + b

⇒ y = b

We are told that the line passes through point (-4, 5). Therefore, the y-intercept is 5.

So the equation of the line is: y = 5