You can use the interactive graph below to find the solution. \begin{cases} y=-5x+6 \\\\ y=3x-2 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ y=−5
x+6 y=3x−2 
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Given:
30-hour review course average a score of 620 on that exam.
70-hour review course average a score of 749.
To find:
The linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course.
Solution:
Let x be the number of hours of review course and y be the average score on that exam.
30-hour review course average a score of 620 on that exam. So, the linear function passes through the point (30,620).
70-hour review course average a score of 749. So, the linear function passes through the point (70,749).
The linear function passes through the points (30,620) and (70,749). So, the linear equation is:
Adding 620 on both sides, we get
We need to find the y-value for .
Therefore, the required linear equation for the given situation is and the average score for persons taking a 57-hour review course is 707.1.