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A straight line p through A(-2,1) and B(2,k) the line is perpendicular to a line 3y + 2x =5. Determine the value of k

User Excalibur
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1 Answer

5 votes

Answer:

k = 7

Explanation:

To solve this, first, you need to find the slope of the line. To do this, you can convert it into point-slope form.

3y = -2x + 5

y = - 2/3x + 5/3

The slope is -2/3, so the perpendicular slope in 3/2

You find the difference between the x - values (2 - -2 = 4), then multiply that by the slope (4 x 3/2 = 6) finally, you add that to the y value of point one.

1 + 6 = 7

User Maury Markowitz
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