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.
