SOLUTION: the boundary line is perpendicular to the line 5x-2y=3 and passes the point (4, -9). the points in the boundary line are solutions of inequality. the point (0.5, 6) is the solution
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Question 1121400: the boundary line is perpendicular to the line 5x-2y=3 and passes the point (4, -9). the points in the boundary line are solutions of inequality. the point (0.5, 6) is the solution of the inequality. write an inequality that satisfies the conditions. Answer by solver91311(24713) (Show Source):
Use the fact that the slopes of perpendicular lines are negative reciprocals to find, based on the coefficient on once you have solved the given equation for in terms of , the slope of the desired boundary line.
Use the Point-Slope form with the slope you just calculated and the given point to write the equation of the boundary line.
Substitute the given solution point's coordinates into the equation for the boundary line that you just derived to determine whether the relationship should be less than or greater than. Include "or equal" in your relational operator because you are given that points on the boundary line are in the solution set.
John
My calculator said it, I believe it, that settles it
