B) Find the point of intersection with the line y=4-x

c) Graph the hyperbola, the line, and the point of intersection.
Please explain how to graph this because I dont understand it and second which equation should I use:

Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here.
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Hyperbola:

A hyperbola is given the equation x^2/25 - y^2/9 = 1

a) Find the coordinates of the foci and the equations of the asymptotes.

If the hyperbola is given by the following general equation,
x2/a2 - y2/b2 = 1
then the foci are given by (c,0) and (-c,0) where c = sqrt(a2+b2)
Here a = 5, b = 3
Forci (±sqrt(34), 0)
The equation of the ...

Solution Summary

Answer is in a 3-page word document. I have provided very detailed step by step solution along with a graph. Answer is easy to understand.

... 6.Find the equation of hyperbola. Vertices at(-3,0) and (3,0) Asymptote the line y=3x. The parabola is of the form y^2 = 4ax Focus is given by (a, 0) = (-5, 0 ...

... conic section such as center, focus/foci, directrix, radius ... and/or minor axes, equations of asymptotes, and length ... and y have different signs, it's a hyperbola. ...

... will be horizontal passing through the foci and the ... Then we draw the asymptotes, which are diagonals formed by ... From this, we can finally create the hyperbola. ...

... A hyperbola with center at the origin (0,0), is the graph of. ... x intercepts at ± a , no y intercepts, foci at (-c , 0) and (c , 0), asymptotes with equations ...

... of the normal to the hyperbola at the ... your answers from the following: Focus, maximum/minimum ... symmetry, directrix, transformation of another graph, asymptotes. ...