Given the function:
[tex]y=\frac{1}{5}x-3[/tex]
It's required to:
* Graph the function
* Find the coordinates of two points
* Calculate the slope by using both points
* Check the value of the scope with the value given in the equation
* Graph the function. We'll use a graphing utility.
The correct option here is D.
* Find the coordinates of (-3, ) and (5, )
I don't have a TRACE feature, but we can estimate the coordinates of the required points by looking at the graph:
Note the y-coordinates are approximate: (-3, -3.5 ) and (5, -2)
* Calculate the slope.
The formula for the slope is:
[tex]y=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting the coordinates of the points:
[tex]y=\frac{-2+3.5}{5+3}=\frac{1.5}{8}\approx0.19[/tex]
The slope of the line (calculated) is 0.19
The exact value of the slope is 1/5 = 0.20
They are close enough.