SOLUTION: a. Determine the equation of the line connecting the points (0,-1) and (2,3). b. Will the line described by the equation in (a) intersect the line passing through the points (-

Algebra ->  Coordinate-system -> SOLUTION: a. Determine the equation of the line connecting the points (0,-1) and (2,3). b. Will the line described by the equation in (a) intersect the line passing through the points (-      Log On


   

Question 825820: a. Determine the equation of the line connecting the points (0,-1) and (2,3).
b. Will the line described by the equation in (a) intersect the line passing through the points (-2,4) and (-3,3)? Explain why or why not.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(0,-1) and (2,3)
Use the point-slope formula
+y+=+m%2Ax+%2B+b+
+m+ = slope
+b+ = y-intercept
----------------------------
The line goes through ( 0,-1 )
which is the y-intercept, so
+b+=+-1+%29%0D%0A---------------------%0D%0A%7B%7B%7Bm+ = ( change in y ) / ( change in x )
+m+=+%28+3+-%28-1%29+%29+%2F+%28+2+-+0+%29+
+m+=+4%2F2+
+m+=+2+
--------------
So, the equation is:
+y+=+2x+-+1+
-------------------
(-2,4) and (-3,3)
If the slope of the other line is NOT
the same as this line, then they will intersect
+m%5B2%5D+=+%28+4+-+3+%29+%2F+%28+-2+-%28-3%29%29+
+m%5B2%5D+=+1+%2F+1+
This slope is different, so they will intersect