SOLUTION: Two lines are perpendicular if Line 1 through (-4, 1) and (-2, -3) and Line 2 through (2, 1)

Question 1003267: Two lines are perpendicular if Line 1 through (-4, 1) and (-2, -3) and Line 2 through (2, 1)

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

given:
Two lines are perpendicular: means their slopes are negative reciprocals to each other
if the slope of line 1 is , then the slope of line 2 is

Line 1 through (,) and (,):
find the slope-intercept form of the equation or for this line using given points

Solved by pluggable solver: Find the equation of line going through points

hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-4, 1) and (x2, y2) = (-2, -3).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(-2)x + (-7)

Your graph:

so, your line 1 has equation , and its slope is
now find negative reciprocal

so far the equation of line 2 is
since given that Line 2 through (,) =(,), use this point to find

now we have the equation of line 2: or

see them on a graph:

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