Question

When analyzing three linear functions, Larae noticed that they all intersected at the point (9,4). What conclusion can Larae come to about the linear function with the largest slope? A. Larae cannot conclude anything. B. It has the highest y intercept. C. It has the middle y intercept. or D. It has the lowest y intercept

Answer 1

The correct answer is:

D. It has the lowest y intercept

Explanation:

All 3 lines pass through the same point.  The steepness of each line can help us to determine where the y-intercept of each line would lie.

The "flatter" the line that passes through this point, the higher up the y-intercept will be.  The "steeper" the line that passes through this point, the lower the y-intercept will be.  This means the line with the largest slope (the steepest line) will have the lowest y-intercept.