Question

Graph the function.
f(x)= -2/3x +2
Use the Line tool and select two points to graph.​

Answer 1

Answer: The graph is attached.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is hte y-intercept.

In this case, given the linear function:

$f(x)= -\frac{2}{3}x +2$

You can rewrite it as:

$y= -\frac{2}{3}x +2$

You can identify in the graph that the y-intercept is:

$b=2$

Now, in order to find the x-intercept, you can substitute $y=0$ and solve for "x". This is:

$0= -\frac{2}{3}x +2\\\\(-2)(3)=-2x\\\\\frac{-6}{-2}=x\\\\x=3$

Finally, knowing the y-intercept and the x-intercept, you can graph the function (See the graph attached)