How do you use the point on the line and the slope of the line to find three additional points through which the line passes: Point: (-8, 1) Slope: m is undefined?

Question

Eva Abramson · Accepted Answer

See a solution process below:

When a line's slope is unknown, it is a vertical line. This means for each and every value of #y#, the #x# value is the same. So, give the point #(-8, 1)# we know the #x# value is #-8#. Therefore, we can plug any value in for #y# and #x# will always be #-8#. Other points to consider are: #(-8, 2)# or #(-8, 3)# or #(-8, 4)# or #(-8, -2)# or #(-8, -3)# or #(-8, 1,000,000,000,000,000,000,000)# or #(-8, -1,000,000,000,000,000,000,000)# or #(-8, 1.2345678901234567890123456789)#

Savannah Anderson · Answer

undefined To find three additional points on the line, start with the given point (-8, 1). Since the slope is undefined, the line is vertical. Therefore, all points on the line will have the same x-coordinate (-8). You can choose any three different y-values to determine the additional points. For example, if you choose y = 0, y = 2, and y = -1, the additional points would be (-8, 0), (-8, 2), and (-8, -1).