SOLUTION: write the inequality whose solid boundary line passes through the points (-5,-7) and (5,-3) and where the point (8,4) is not a solution.

Algebra ->  Inequalities -> SOLUTION: write the inequality whose solid boundary line passes through the points (-5,-7) and (5,-3) and where the point (8,4) is not a solution.      Log On


   

Question 1066094: write the inequality whose solid boundary line passes through the points (-5,-7) and (5,-3) and where the point (8,4) is not a solution.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Find the reference line.

m=%28-3-%28-7%29%29%2F%285-%28-5%29%29
m=%28-3%2B7%29%2F10
m=4%2F10
m=2%2F5
-
choose a point, picking (5,-3).
b=y-mx
b=-3-%282%2F5%29%2A5
b=-5
-
y=%282%2F5%29x-5

Use the point to be excluded from solution region.
4%3C%3E%282%2F5%29%2A8-5
4%3C%3E%2816%2F5%29-5%285%2F5%29
4%3C%3E%2816-25%29%2F5
4%3C%3E-9%2F5
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You want the left side as an inequality so that the given point is NOT a solution. Here, left side is greater than right side. If say 4%3E-9%2F5, this is true. We want the other direction.

highlight%28y%3C=%282%2F5%29x-5%29
The point (8,4) will not be among the solution for the equation.