Question

1) Use the point on the line and the slope m of the line to find three additional points through which the line passes. (There are many correct answers.)
(1, 6), m is undefined
the options for 2 are
a) (1, -2), (-1, -2), (-2, -2)
b) (1, -6), (3, -6), (5, -6)
c) (1, 1), (1, 2), (1, 0)
d) (2, 6), (5, 6), (0, 6)
e) (-1, 6), (-1, 5), (-1, 4)

2) Use the point on the line and the slope m of the line to find three additional points through which the line passes. (There are many correct answers.)
(0, −9), m = −2
a) (1, -2), (-2, 4), (2, -4)
b) (3, -15), (1, -11), (-1, -7)
c) (-2, 13), (-3, 15), (2, 5)
d) (1, -7), (2, -9), (4, -13)
e) (1, -10), (5, -14), (4, -13)

Answer 1

In #1, since the slope is undefined, the line must be a vertical line.
If a line is vertical all its x values must be the same.
Looking at the given point (1,6) , mmmhhhh?

#2, clearly the equation is y = -2x - 9
Which set of points satisfies this equation?
(btw, if the first point in a set fails, there is no need to try the other two)

Answer 2

for question 2, the answer would be b

Answer 3

yes