Final answer:
The y-intercept of the function is 4 and the slope is -2. Two points on the graph can be plotted using the given information. The zero of the function is x = 2. Hence the correct answer is option A
Step-by-step explanation:
The correct answer is a) Y-intercept: 4; Slope: -2.
To find the y-intercept and slope of the function, you can use the equation form y = a + bx, where a represents the y-intercept and b represents the slope.
For the function given in option a, y = 4 - 2x, the y-intercept is 4 and the slope is -2. This means that the graph of the function will intersect the y-axis at the point (0, 4) and for every 1 unit increase in x, y will decrease by 2 units.
To plot two points on the graph, you can choose any two values for x and calculate the corresponding y values. For example, if we choose x = 1, y = 4 - 2(1) = 2. So one point on the graph would be (1, 2). Similarly, if we choose x = 2, y = 4 - 2(2) = 0. So another point on the graph would be (2, 0).
Using these two points, you can now draw a straight line on the graph that represents the function. Finally, to find the zero of the function, you need to find the value of x when y = 0. In this case, set 4 - 2x = 0 and solve for x. You will find that x = 2. So the zero of the function is x = 2.