Bridgett S.

asked • 01/10/17

write an equation for the line passing through the points (-2,-3) and (-2,7)

write an equation for the line passing through the points (-2,-3) and (-2,7)

1 Expert Answer

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Nadia S. answered • 01/10/17

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First we have to find slope of line
 
Slope of line= (y2-y1)/(x2-x1)
 
                  =(7-(-3))/(-2-(-2))
 
                 =(7+3) /(-2+2)
                
                 =10/0
 
                = undefined
 
Slope of vertical lines are undefined
 
 
 
equation of line is   x= -2
 
 
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Andrew M.

One can note that for any line through
two given points.. If the x values are the
same it's a vertical line of form x = __
 
If the y values are the same it is a horizontal
line of form y = __
 
Otherwise, find the slope from
m = (y2-y1)/(x2-x1)
 
Then you can use point slope formula
y - y1 = m(x-x1) using either of the 
given points as (x1, y1) 
**********************************
Example:  find equation of the line through
(-2, 4) and (3, -6)
 
m = (-6-4)/(3-(-2)) = -10/5 = -2
 
using point slope formula with (-2,4)
 
y - 4 = -2(x-(-2))
y - 4 = -2(x+2)
y - 4 = -2x - 4
y = -2x
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01/10/17

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