Question

Use a graphing utility to graph the equation below. Then use the TRACE feature to trace along the line and find the coordinates of two points. Use these points to compute the line’s slope. Check the result by using the coefficient of x in the line’s equation

Answer 1

Given the function:

`y=(1)/(5)x-3`

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:

`y=(y_2-y_1)/(x_2-x_1)`

Substituting the coordinates of the points:

`y=(-2+3.5)/(5+3)=(1.5)/(8)\approx0.19`

The slope of the line (calculated) is 0.19

The exact value of the slope is 1/5 = 0.20

They are close enough.