Solution assignment 08 Linear functions and graphs

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Assignment 8

The line l goes through the points A(1,3) and B(5,3) and intersects the line:

m: y=-x+5

in the point S.
Calculate the coordinates of S.

Solution

We can use the formula that computes the slope of the line l from the points A and B, but this is not necessary. We notice that the y-coordinates of both points are equal, meaning that the line is parallel to the X-axis and thus has the equation y=3. The x-coordinate of the intersection point S is:

3=-x+5
x=2

and thus S has the coordinates (2,3), see the figure.

-x+5=3

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