Verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal to the curve at the given point.
x² + y² = 25, (-3,4)
The point is on the curve because when __ is substituted for x and __ is substituted for y, the resulting statement is __ = 25, which is a ______ statement.
(Simplify your answers.)
a. The equation of the line tangent to the curve at the point (-3,4) is __
b. The equation of the line normal to the curve at the point (-3,4) is __