A hyperbola with equation of
( x − 4 ) 2 a 2 − ( y + 8 ) 2 b 2 = 1 \displaystyle \frac{{\left({x}-{4}\right)}^{{2}}}{{a}^{{2}}}-\frac{{\left({y}+{8}\right)}^{{2}}}{{b}^{{2}}}={1} a 2 ( x − 4 ) 2 − b 2 ( y + 8 ) 2 = 1 has an asymptote with equation of
y = 7 4 x − 15 \displaystyle {y}=\frac{{7}}{{4}}{x}-{15} y = 4 7 x − 15 .
Find the smallest possible whole number values for
a and
b .
a =
Preview Question 6 Part 1 of 2 b =
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Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)