SOLUTION: Find the equation of the line passing those the points (10,-27) and (-10,-9). Write your answer in the form y=mx+b.

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Question 1195349: Find the equation of the line passing those the points (10,-27) and (-10,-9). Write your answer in the form y=mx+b.
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the previous example.. That is clear enough so you can figure how to do this one.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find the equation of the line passing those the points (10,-27) and (-10,-9).
Write your answer in the form:
y=mx%2Bb.......where m is a slope and b is y-intercept

since given two points, use them to find a slope


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 .......the points are (10,-27) and (-10,-9)
m=%28-9-%28-27%29%29%2F%28-10-10%29
m=%28-9%2B27%29%2F%28-20%29
m=18%2F%28-20%29
m=-9%2F10

now use point slope equation
y-y%5B1%5D=m%28x-x%5B1%5D%29......substitute slope m=-9%2F10 and given point (-10,-9)

y-%28-9%29=-%289%2F10%29%28x-%28-10%29%29

y%2B9=-%289%2F10%29%28x%2B10%29

y%2B9=-%289%2F10%29x-%289%2F10%2910%29

y%2B9=-%289%2F10%29x-9

y=-%289%2F10%29x-9-9

y=-%289%2F10%29x-18 -> your equation