SOLUTION: Find the point-slope form of the line satisfying the given conditions and use this to write the slope-intercept form of the equation. Passing through (3, -6) and (-3, 2)

Algebra ->  Linear-equations -> SOLUTION: Find the point-slope form of the line satisfying the given conditions and use this to write the slope-intercept form of the equation. Passing through (3, -6) and (-3, 2)      Log On


   

Question 29585: Find the point-slope form of the line satisfying the given conditions and use this to write the slope-intercept form of the equation.
Passing through (3, -6) and (-3, 2)
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
first find the slope pt 1(3, -6) pt 2(-3, 2)
+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+
+%282--6%29%2F%28-3-3%29+ add
+8%2F-6+ reduce the fraction
+-4%2F3+
chose a point and the slope and plug them into the formula +y+=+mx%2Bb+ Solve for b.
+y+=+mx%2Bb+ use point #2
+2+=+%28-4%2F3%29%28-3%29+%2B+b+
+2+=+4+%2B+b+ subtract
+-2+=+b+
plug the slope and b back into the equation.
+y+=+mx%2Bb+
+y+=+%28-4%2F3%29x-2+