Question

Graph f(x)=−0.5x+3. Use the line tool and select two points to graph the line.

Answer 1

Answer: These are some points of the grahp:

(-2,4)

(0, 3)

(2, 2)

Explanation:

1) f(x) =  -0.5x + 3, is the equation of the form y = mx + b

2) y = mx + b is slope-intercept  equation of a line where the slope is m and the y-intercept is b, so, f(x) = - 0.5x + b has slope m = -0.5 and y-intercept b = 3.

3) To graph f(x) = -0.5x + 3, follow these steps:

• draw two perpedicular axis: vertical axis, labeled y, and horizontal axis, labeled x.
• draw marks on each axis, each mark equivalent to one unit.
• the intersection point of the vertical and horizontal axis is the origin, i.e. point (0,0).
• you can make a table with two or more points:

        x       f(x) = - 0.5x + 3

        -2         4

        0          3

        2          2

        4           1

        6          0

4) You can see the graph in the figure attached, and select any of the points on the line either by using the table or by using the equation f(x) = -0.5x + 3.

Answer 2

So the equations says F(x)= -0.5x+3. So what your going to want to do is start a point at  3 and go to the right 2 and down 1 for a slope of -0.5