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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

Compare the slopes of the lines for y fx and y gx to determine if each pair of lines is parallel SEE EXAMPLE 1 18 fx gx 0 20 22 g х 1 35 37 s 2 50 52 3 65 67 class=

Respuesta :

Answer:

Step-by-step explanation:

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

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

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

Slope of the line [tex]m_1[/tex] = [tex]\frac{35-20}{1-0}[/tex] = 15

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

Slope of the line [tex]m_2=\frac{37-22}{1-0}[/tex] = 15

Therefore, [tex]m_1=m_2[/tex]

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

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