Question

Given the function f(x) =-2/3x+2 solve for the x-and y-intercepts . Use the intercepts to graph the function .

Answer 1

Answer:

Step-by-step explanation:

f(x) = (-2/3)x + 2 is clearer.

To find the x-intercept(s), set this function equal to zero and solve for x:

0  = (-2/3)x + 2, or (2/3)x = 2.  Multiplying both sides by the reciprocal 3/2 of the slope 2/3, we get:  x = (3/2)(2) = 3.

Thus, x = 3 when y = 0.  This is the x-intercept:  (3, 0)

To find the y-intercept(s), set x = 0 and find y:  (-2/3)(x) + 2 = 2.  Therefore, the y-intercept is (0, 2).

To graph this line, plot the x- and y-intercepts found above.  Then connect these two points with a straight line.