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### Assignment 4

Draw the graphs of the following linear functions:

and determine the intersection point of the lines.

### Solution

A line can be drawn if you have two points on that line. For the first line we can take and . These points can be found by taking subsequently and equal to . Similarly, for the second line we can take the points and .

In the intersection point both lines have equal -coordinates and thus we have to solve the following equation to solve the corresponding -value:

For this value of we still have to calculate the corresponding -coordinate. We do this by substituting the value of in the equation of . Then we get:

Thus the coordinates of the intersection point are:

This can be verified in the figure.

Return to Assignments Linear functions and graphs.