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What is the equation to a line that is perpendicular to the graph of 5 x minus 3 y equals 9 and the two lines intersect at x equals 15?
It is 3x + 5y = 155
The slope of the line 5x -3y = 9:
5x - 3y = 9
→ 3y = 5x - 9
→ y = 5/3 x - 3
→ slope is 5/3
→ slope of perpendicular line is -3/5
Intercept at x = 15 → y = 5/3 x 15 - 3 = 22
→ equation of perpendicular line is:
y - 22 = -3/5 (x - 15)
→ 5y - 110 = -3x + 45
→ 3x + 5y = 155
What else can I help you with?
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