Question

Find the length of AM, given the coordinates A is located at the origin and M (4,7).m:|| m:ImAM:Equation of AM:

Answer 1

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

$m=\frac{y_2-y_1}{x_2-x_1}$$\text{where}\: (x_1,y_1)=(0,0)\: \text{and}\: (x_2,y_2)=(4,7)$$m=\frac{y_2-y_1}{x_2-x_1}=\frac{7-0}{4-0}=\frac{7}{4}$

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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