SOLUTION: find the equation of the line (in slope-intercept form) passing through each pair of points. a. (-2,5) and (0,2) b. (4,4) and (5,-3)

Algebra ->  Linear-equations -> SOLUTION: find the equation of the line (in slope-intercept form) passing through each pair of points. a. (-2,5) and (0,2) b. (4,4) and (5,-3)      Log On


   

Question 458373: find the equation of the line (in slope-intercept form) passing through each pair of points.
a. (-2,5) and (0,2)
b. (4,4) and (5,-3)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
a. (-2,5) and (0,2)
+%28+y+-+5%29+%2F+%28x+-+%28-2%29%29+=+%28+2+-+5+%29+%2F+%28+0+-+%28-2%29%29+
+%28+y+-+5%29+%2F+%28x+%2B+2%29+=+-3+%2F+2+
Multiply both sides by +2%2A%28x+%2B+2%29+
+2%2A%28y+-+5%29+=+-3%2A%28+x+%2B+2+%29+
+2y+-+10+=+-3x+-+6+
+2y+=+-3x+%2B+4+
+y+=+-%283%2F2%29%2Ax+%2B+2+
check:
(-2,5)
+5+=+-%283%2F2%29%2A%28-2%29+%2B+2+
+5+=+3+%2B+2+
OK
(0,2)
+2+=+-%283%2F2%29%2A0+%2B+2+
+2+=+0+%2B+2+
OK
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b. (4,4) and (5,-3)
+%28y+-+4%29+%2F+%28x+-+4%29+%2F+%28+-3+-+4+%29+%2F+%28+5+-+4+%29+
+%28y+-+4%29+%2F+%28x+-+4%29+%2F+-7+%2F+1+
Multiply both sides by +x-4+
+y+-+4+=+-7%2A%28x-4%29+
+y+-+4+=+-7x+%2B+28+
+y+=+-7x+%2B+32+
check:
(4,4)
+4+=+-7%2A4+%2B+32+
+4+=+-28+%2B+32+
+4+=+4+
OK
(5,-3)
+-3+=+-7%2A5+%2B+32+
+-3+=+-35+%2B+32+
+-3+=+-3+
OK