how do we find the interpolation from a graph to determin the number of images which should be observer with a mirror angle of 90 degree and how do we calculate the line equation.

To find the interpolation from a graph to determine the number of images observed with a mirror angle of 90 degrees and calculate the line equation, you will need the following steps:

1. Plot the given data points on a graph. Make sure to label the x-axis and y-axis with the appropriate variables.

2. Analyze the trend of the plotted points. Determine if they form a linear relationship or follow a different pattern. If the points seem to form a straight line, a linear equation can be used to calculate the interpolation.

3. If the data points form a linear relationship, choose two points on the line that are closest to the desired mirror angle of 90 degrees. These two points will be used to calculate the line equation.

4. Let's assume the x-coordinates of the two selected points are x1 and x2, while the corresponding y-coordinates are y1 and y2.

5. Calculate the slope (m) of the line using the formula: m = (y2 - y1) / (x2 - x1).

6. Once you have calculated the slope (m), you can use any of the two points (x1, y1) or (x2, y2) and substitute them into the point-slope form of the line equation: y - y1 = m(x - x1) or y - y2 = m(x - x2).

7. Rearrange the equation into the slope-intercept form, y = mx + b, by simplifying and solving for y, where b is the y-intercept of the line.

8. Using the determined equation, substitute the desired mirror angle of 90 degrees (x-value) into the equation to find the calculated number of images (y-value).

By following these steps, you can find the interpolation based on the graph and calculate the line equation for the given mirror angle.