Yosty22 said:Try using something other than y=mx+b. Do you know any other ways to write the equation that doesn't rely on B?
Yosty22 said:Try y-y_1=m(x-x_1). You are given y_1 and x_1 (or can easily find them) and you have already solved for m. The rest is plugging in and simplifying.
The equation of a line tangent to a curve at a given point can be found by taking the derivative of the curve at that point and using the point-slope form of a line.
The slope of a tangent line to a curve can be found by taking the derivative of the curve at the given point. This derivative represents the rate of change of the curve at that point, which is equal to the slope of the tangent line.
The equation of the tangent line to a curve is important because it allows us to approximate the behavior of the curve at a specific point. It also helps us to find the maximum and minimum points on a curve, which can have practical applications in fields such as economics and engineering.
No, a curve can only have one tangent line at a given point. This is because the tangent line represents the instantaneous rate of change of the curve at that point, and there can only be one unique rate of change at a specific point.
Yes, the equation of a tangent line can be used to find the point of intersection between two curves. This can be done by setting the two equations equal to each other and solving for the x-coordinate of the point of intersection.