Which is the equation of a line that is perpendicular to 6x – 4y = 9? a. y=-2/3x-4 b. y=2/3x+4 c. y=-3/2x d. y=3/2x-2

6x – 4y = 9

4y = 6x - 9

y = 6/4 x - 9/4

y = 3/2 x - 9/4 this line has slope = 3/2

perpendicular line, slope is opposite and reciprocal so slope of this line = -2/3

A.y= - 2/3 x - 4 (only this line has slope = -2/3)

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

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