Respuesta :

Option A:

Slope of the line is [tex]\frac{2}{3}[/tex].

Solution:

Given points are (1, 1) and (7, 5).

[tex]x_1=1, y_1=1, x_2=7, y_2=5[/tex]

To find the slope of the line:

Slope of the line:

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

[tex]$m=\frac{5-1}{7-1}[/tex]

[tex]$m=\frac{4}{6}[/tex]

[tex]$m=\frac{2}{3}[/tex]

Hence slope of the line is [tex]\frac{2}{3}[/tex].

Option A is the correct answer.