In order to solve an equation for a variable, we need to isolate that variable on one side of the equation (either left side or right side).
Following are some steps to solve equation/inequality in one variable:
1) Get rid constant number from on side by applying reverse operation of addition or subtraction.
2) Get rid variable terms from other side by applying reverse operation of addition or subtraction.
3) Combine like terms on both sides.
4) Get rid any coefficent ( a number in front of a variable) by dividing from both sides.
5) Finally you get a variable on one side and solution on other side.
Answer:

Step-by-step explanation:
The hyperbola has x-intercepts, so it has a horizontal transverse axis.
The standard form of the equation of a hyperbola with a horizontal transverse axis is 
The center is at (h,k).
The distance between the vertices is 2a.
The equations of the asymptotes are
1. Calculate h and k. The hyperbola is symmetric about the origin, so
h = 0 and k = 0
2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6
a = 6/2 = 3
3. For 'b': The equation for the asymptote with the positive slope is

Thus, asymptote has the slope of

4. The equation of the hyperbola is

The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.
Answer:
k=3
Step-by-step explanation: