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10 cards from this deck
Touches curve at one point with same slope as curve
Slope of the tangent at any point (x,y)(x, y)(x,y) on curve
Differentiate the function to find dydx\frac{dy}{dx}dxdy
y−y1=m(x−x1)y - y_1 = m(x - x_1)y−y1=m(x−x1)
The slope of the line
The given point on the line
Parallel lines have equal slopes
Their slopes multiply to give −1-1−1
Set dydx\frac{dy}{dx}dxdy equal to that slope
Differentiate, substitute, apply point-slope form
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