Question

Find the equation of the tangent line to
the curve
y=x²-2x + 7 which is
(1) Parallel to the line 2x - y+9=0
(2)Perpendicular to the line 5y-15x=13​

Answer 1

Answer:

This is in the form of y = mx + c . If a tangent is parallel to line 2x - y + 9 = 0 , then the slope of the tangent is equal to the slope of the line . Hence, the equation of the tangent line to the given curve ( Which is parallel to line 2x - y + 9 = 0) is .

(2) The equation of the line is 5y - 15x=13