Final answer:
A graphing calculator, specifically a TI-84 Calculator, can solve exponential equations by plugging in points. It can also find best-fit lines and create scatter plots which is essential in handling such equations.
Step-by-step explanation:
The type of calculator that specifically solves exponential equations by plugging in points is a graphing calculator. One commonly used example of this is the TI-84 Calculator, which also includes the TI-83 and TI-83+ models. These calculators have the capability to find the best-fit line and create a scatter plot, which are essential for working with exponential equations and datasets. Additionally, they can perform a variety of other functions including calculating expressions in proper scientific notation.