Find the Tangent Given the Point (6,-7)

Problem

Find the Tangent Given the Point *(6,−7)

Solution

1. Identify the missing information. To find the equation of a tangent line, both a function ƒ(x) and a point of tangency ((x_0),(y_0)) are required.

2. Assume the task refers to a general line passing through the point (6,−7) with a given slope m

3. Apply the point-slope formula for a line, which is y−(y_1)=m*(x−(x_1))

4. Substitute the coordinates (x_1)=6 and (y_1)=−7 into the formula.

y−(−7)=m*(x−6)

5. Simplify the equation into slope-intercept form.

y+7=m*x−6*m

y=m*x−6*m−7

Final Answer

y+7=m*(x−6)

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