Find the equation for the line is perpendicular to 9x+3y=15 (-3,3)
2 answers:
well, let's keep in mind that perpendicular lines have negative reciprocal slopes, so hmmm wait a second, what's the slope of the equation above anyway?
so then, we're really looking for the equation of a line whose slope is 1/3 and runs through (-3,3)
Answer:
-x + 3y = 12.
Step-by-step explanation:
OK. First we need to find the slope of 9x + 3y = 15.
3y = -9x + 15
y = -3x + 5
So it's slope = -3.
Now the slope of the line perpendicular to it is - 1 / -3 = 1/3.
Now we use the general form point-slope to find the required equation:
y - y1 = m(x - x1)
Here x1 = - 3, y1 = 3 and m = 1/3:
y - 3 = 1/3(x - -3)
y - 3 = 1`/3(x + 3)
Multiply through by 3:
3y - 9 = x + 3
-x + 3y = 12.
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