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=(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=(y_2-y_1)/(x_2-x_1)=(7-0)/(4-0)=(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