The coordinates A is located at the origin meaning that A(0, 0)
The point M is located at M(4,7)
The slope (m) of the line AM is given by
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\text{where}\: (x_1,y_1)=(0,0)\: \text{and}\: (x_2,y_2)=(4,7)[/tex][tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{7-0}{4-0}=\frac{7}{4}[/tex]
So, the slope (m) of the line AM is 7/4
Recall that parallel lines have equal slopes.
So, the slope of a line parallel to the line AM is also 7/4
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