Answer:
(1, 3)
Step-by-step explanation:
The center of a hyperbola can be found by looking at the midpoint between the two vertices.
Here, the two vertices are (1, 8) and (1, -2). We use the Midpoint Formula to figure out the vertex:
Midpoint is:
Thus, the answer is (1, 3).
Hope this helps!
The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.
Now that we have two points, we can solve for slope m
Now that we have both m and b. Substitute these values to the slope intercept form