SOLUTION: Weite the equation of the line in slope-intecept form using the information (-5, -5) and (10, -2)

Algebra ->  Linear-equations -> SOLUTION: Weite the equation of the line in slope-intecept form using the information (-5, -5) and (10, -2)      Log On


   



Question 984582: Weite the equation of the line in slope-intecept form using the information (-5, -5) and (10, -2)
Found 2 solutions by macston, josmiceli:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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(-5,-5) , (10,-2)
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Find the slope:
m=change in y/change in x=(-5-(-2))/(-5-10)=-3/-15=1/5
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Slope intercept form:
y=mx+b
We have m=1/5:
y=(1/5)x+b
Put in values from one point and solve for b:
Using point (-5,-5):
-5=(1/5)(-5)+b
-5=-1+b
-4=b
Using values for m and b:
y=(1/5)x-4 ANSWER: This is the equation in slope-intercept form.
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CHECK:
Use the other given point (10,-2):
y=(1/5)x-4
-2=(1/5)10-4
-2=2-4
-2=-2

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use general slope intercept formula
( -5,-5 ) and ( 10, -2 )

+%28+y+%2B+5+%29+%2F+%28+x+%2B+5+%29+=+%28+-2+%2B+5+%29+%2F+%28+10+%2B+5+%29+
+%28+y+%2B+5+%29+%2F+%28+x+%2B+5+%29+=+3+%2F+15+
+%28+y+%2B+5+%29+%2F+%28+x+%2B+5+%29+=+1+%2F+5+
Multiply both sides by +5%2A%28+x%2B5+%29+
+5%2A%28+y+%2B+5+%29+=+x+%2B+5+
+5y+%2B+25+=+x+%2B+5+
+5y+=+x+-+20+
+y+=+%281%2F5%29%2Ax+-+4+
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check answer:
( -5, -5 )
+-5+=+%281%2F5%29%2A%28-5%29+-+4+
+-5+=+-1+-+4+
+-5+=+-5+
You can check the other point ( 10, -2 )