Question

Find the equation of all lines having slope 2 which are tangents to the curve

Answer 1

Find the equation of all lines having slope 2 and being tangent to the curve y+x−32=0.

Slope of the tangent to the curve at point (x,y) is dxdy.

Thus, the point is (2,2)

Thus, the point is (4,−2)

Thus, there are two tangents to the curve with slope 2 and passing through points (2,2) and (4,−2)

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