The slope of the given line is [tex]\frac{1}{6}[/tex].
The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases.
When a linear equation is written in slope intercept form, the slope of the line can easily be identified. The slope is "m" or the coefficient of x in the equation.
According to the question ;
The given line is
[tex]y = \frac{1}{6} x + \frac{3}{2}[/tex]
By comparing with the standard equation of the line .
y = mx + c
[tex]m = \frac{1}{6} \\ c = 6 \\[/tex]
Now ; slope of the line = m = [tex]\frac{1}{6}[/tex]
The slope of the line is [tex]\frac{1}{6}[/tex] .
For the more details about slope of the line click the link given below.
https://brainly.in/question/47593967
