Fill in the blank so that the resulting statement is true Th

Fill in the blank so that the resulting statement is true. The equations for the asymptotes of x^2/4 - y^2/49 = 1 are The equations for the asymptotes of x^2/4 - y^2/49 = 1 are (Simplify your answer Use integers or fractions for any numbers in the expression.)

Solution

x^2 /4 - y^2/49

This is an equation of hyperbola:

equation of asymtotes is given by : y = +/-b*x/a

b = sqrt49 =7 ; a = 2

y = +/- 7*x/2

y = +/-7x/2