Write parametric equations of a line through (7,5) with slope of 3. Graph the line using your equations.
denote the position vector of a point P on the line and let
denote the position vector of point Q.
Using algebra, the line
is parallel to the vector
Hence, the vector parametric equation is
The resulting scalar parametric equations are
Let (X0, Y0) = (7, 5) and using the slope of 3, let (X1, Y1) = (8, 8). So
Using these parametric equations, the graph of the line is
The graph of the line
shown in blue is on the path of the parametric equations that were graphed previously.
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