A researcher collected data on the number of hours students studied per week and their corresponding scores on a standardized test. The following table summarizes their findings:
Hours Studied | Test Score |
---|---|
5 | 70 |
10 | 80 |
15 | 85 |
20 | 95 |
The researcher wants to establish a linear model to represent the relationship between the number of hours studied (x) and the test score (y). Based on the data, what is the equation of the best-fit line in slope-intercept form (i.e., $y = mx + b$) for this model?