Question

Which line described below has a slope of 0?
F A line containing the points (4, 10) and (6, 8)
G A line containing the points (−2, 8) and (2, 9)
H A line containing the points (0, −5) and (30, −5)
J A line containing the points (9, 11) and (9, 4)

Answer 1

Answer:

ANSWER

Since slope of line passing through two points (x

1

,y

1

) and (x

2

,y

2

) is m=

x

2

−x

1

y

2

−y

1

We now find the slope of the line passing through the points (7,5) and (−9,5) as shown below:

m=

−9−7

5−5

=

−16

0

=0

Therefore, the slope of the line is 0.

Now use the slope and either of the two points to find the y-intercept.

y=mx+b

5=(0)(7)+b

b=5

Write the equation in slope intercept form as:

y=mx+b

y=(0)x+5

y=5

Hence, the equation of the line is y=5.