SOLUTION: Good evening Tutors can you please help me solve this problem. Much appreciated A line that includes the points (1,w) and (3,-7) has a slope of -5. What is the value of w? w=

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Good evening Tutors can you please help me solve this problem. Much appreciated A line that includes the points (1,w) and (3,-7) has a slope of -5. What is the value of w? w=      Log On


   

Question 1089996: Good evening Tutors can you please help me solve this problem. Much appreciated
A line that includes the points (1,w) and (3,-7) has a slope of -5. What is the value of w?
w=
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the idea:
[ change in y / change in x ] = slope
Where y is plotted on the vertical axis and
x is plotted on the hortizontal axis.
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The format of a point is ( x,y ), so I can say:
+%28+w+-%28-7%29+%29+%2F+%28+1+-+3+%29+=+-5+
+%28+w+%2B+7+%29+%2F+%28-2%29+=+-5+
+w+%2B+7+=+10+
+w+=+3+
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check answer:
+%28+w+-%28-7%29+%29+%2F+%28+1+-+3+%29+=+-5+
+%28+3+-%28-7%29+%29+%2F+%28+1+-+3+%29+=+-5+
+10+%2F+%28-2%29+=+-5+
+10+=+%28-2%29%2A%28-5%29+
+10+=+10+
OK