Write the equation of the line perpendicular to 2x-3y=6 through the point (-2,4)
1 answer:
Answer:
y = -3/2x + 1
Step-by-step explanation:
Perpendicular lines' slope will have the negative reciprocal of the other one's slope.
First, put 2x-3y = 6 into slope - intercept form, so it would be:
This means that the slope of that line is 2/3, so the slope of the perpendicular line would have to be -3/2.
Then, you can put this into point-slope form, so it would look like:
y - 4 = -3/2 (x + 2)
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