A. Line m contains the points, A(–2, 6) and B(4, 8), while line n contains the C(8, 12) and D(x, 24).

Given m and n are perpendicular lines, solve for the value of x.
Given m and n are parallel lines, solve for the value of x.
In your final answer, include all formulas and calculations necessary to solve for x.

Question

A. Line m contains the points, A(–2, 6) and B(4, 8), while line n contains the C(8, 12) and D(x, 24).

Given m and n are perpendicular lines, solve for the value of x.
Given m and n are parallel lines, solve for the value of x.
In your final answer, include all formulas and calculations necessary to solve for x.

anonymous · Answer

@mathstudent55

campbell_st · Answer

find the slope of using the points AB, what do you get...?

anonymous · Answer

to find the slope do I use y=mx+b?? @campbell_st

campbell_st · Answer

no slope if the m value in the equation, the slope is found using

$$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$$

so let (4, 8) be the 2 point and (-2, 6) be the 1 point

so 

$$y_{2} = 8,~ y_{1} = 6,  ~x_{2} = 4, ~and ~x_{1} = -2$$

now you can find the slope of the line m

anonymous · Answer

so 2/6? @campbell_st

mathstudent55 · Answer

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