
9514 1404 393
Answer:
 sec(A) = -(1/5)√74
Step-by-step explanation:
Solving the equation for y, we have ...
 -7x = 5y
 -7/5x = y
The slope of this line (-7/5) is the tangent of the angle (A) it makes with the x-axis. The secant satisfies the relation ...
 sec(A)^2 = 1 + tan(A)^2
 sec(A) = √(1 +tan(A)^2)
 sec(A) = -√(1 +(-7/5)^2) = -√(74/25) . . . . secant is negative in 2nd quadrant
 sec(A) = -(1/5)√74