Final answer:
The equation of a tangent line can be found by using the fact that the slope of a tangent line is equal to the slope of the curve at that point, and the point-slope form of a line.
Step-by-step explanation:
The equation of a tangent line can be found with only one point by using the fact that the slope of a straight line tangent to a curve is equal to the slope of the curve at that point. So, if we have the coordinates of a point on the curve, we can find the slope of the curve at that point. Then, using the point-slope form of a line, we can write the equation of the tangent line.
For example, if we have the point (x1, y1) on the curve, and the slope of the curve at that point is m, we can write the equation of the tangent line as:
y - y1 = m(x - x1)