SOLUTION: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible. Points: (2,-3) and (2,4) Thanks....aga

Algebra ->  College  -> Linear Algebra -> SOLUTION: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible. Points: (2,-3) and (2,4) Thanks....aga      Log On


   



Question 106052: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible. Points: (2,-3) and (2,4) Thanks....again!
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
We need to find equation of form y=ax%2Bb, where a is slope, and b is intercept, which passes through points (x1, y1) = (2, -3) and (x2, y2) = (2, 4).
Slope a+is
a+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29
intercept b is
b+=+y%5B1%5D+-+a%2Ax%5B1%5D
so, we will have:
a+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29
a+=+%284+-+%28-3%29%29%2F%282+-+2%29
since the x coordinates of both points are the same, we cannot describe the line that passes through these two points as a non-vertical line. This line is a vertical line, paralel to y axis and goes throug x=2