Answers

2014-05-15T12:57:13+08:00

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
m = -1 since it is parallel to the given line. Since the equation for the slope of the tangent line its derivative, then dy/dx = m = -1

dy/dx = -8/y = -1
y = 8
Substituting y to the eq of parabola, we will get x = -4

The tangent line passes through point (-4, 8)
 
Using point-slope formula, we have
y-8 = -1(x+4)

Therefore, the equation of the tangent line is y = -x + 4
0
how to get the point of tangency (-4,8) without using derivative or any calculus lessons.
I'm not really sure. So far, that is the only way I can think of.