Question

Compare the slopes of the lines for y = f(x) and

y = g(x) to determine if each pair of lines is parallel.
SEE EXAMPLE 1
18
f(x) g(x)
0 20 22
g
х
1
35
37
s
2
50
52
3
65
67

Answer 1

Explanation:

Slope of a line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` will be given by,

Slope 'm' =
`(y_2-y_1)/(x_2-x_1)`

Function 'f' passes through two points (0, 20) and (1, 35).

Slope of the line
`m_1` =
`(35-20)/(1-0)` = 15

Similarly function 'g' is passing through (0, 22) and (1, 37).

Slope of the line
`m_2=(37-22)/(1-0)` = 15

Therefore,
`m_1=m_2`

Since, slopes of both the lines are equal, lines will be parallel.