Question

What is the equation of the line that passes through the point (-4, 5) and has an

undefined slope?

Answer 1

Explanation:

an undefined slope is y/0.

not 0/x.

remember, the slope is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

so, if x never changes, we get the undefined slope.

that means it is a vertical line through a point x on the x-axis, and it represents all points for which x = that constant value.

now, we look at our given point, its x-coordinate is -4.

so, the equation of the line is

x = -4

Answer 2

y = 5 or y = 0x + 5 (they're both the same)

Explanation:

y = mx + b

y = 0x + b

5 = 0(-4) + b

5 = 0 + b

b = 5

y = 5 or y = 0x + 5 (they're both the same)