Build a Tangent Line at a Point - Practice 1

5 questions0m 0s

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A tangent line uses the derivative as slope and passes through the point on the curve. In y = mx + b, solve b = y0 - m x0.

Worked example

For y = x^2 at x = 2, the point is (2, 4) and slope is 4. Thus b = 4 - 8 = -4.

Question 1 For y = x^2 at x = -4, the tangent is y = mx + b. What is b? Answer

Question 2 For y = x^2 at x = -3, the tangent is y = mx + b. What is b? Answer

Question 3 For y = x^2 at x = -2, the tangent is y = mx + b. What is b? Answer

Question 4 For y = x^2 at x = -1, the tangent is y = mx + b. What is b? Answer

Question 5 For y = x^2 at x = 0, the tangent is y = mx + b. What is b? Answer