Final answer:
To graph the line of the equation y+1=−12(x−4), first identify the zero of the function. Then use the zero and another point to graph the line.
Step-by-step explanation:
To graph the line of the equation y+1=−12(x−4), we need to first identify the zero of the function. The zero of the equation is the value of x for which y = 0. To find it, we set y+1 = 0 and solve for x. Subtracting 1 from both sides, we get y = -1. Therefore, the zero of the equation is (-1, 0).
Next, we can use the zero and another point to graph the line. For example, let's choose x = 0. Substituting this value into the equation, we can solve for y: y + 1 = -12(0 - 4) => y + 1 = 48 => y = 47. So, another point on the line is (0, 47).
Now, we can plot these two points on a graph and draw a line through them to represent the equation. The zero of the equation (-1, 0) and the additional point (0, 47) will help us in graphing the line.