Question

I
+
3 of 7
5)
Line n contains (2, 3) and is perpendicular to the line 4x + 3y = 7. What is the
equation of line n in slope-intercept form?

Answer 1

Answer: Y = 3/4x + 3

Step-by-step explanation:

If two lines are perpendicular, then the product of the two slopes should be -1.

First change 4x + 3y = 7 to Slope intercept form

  (4x - 4x) + 3y = 7 - 4x

   3y/3 = 7/3 - 4/3x

    Y = -4/3x + 7/3 ( -4/3 is the slope)

  Then find the slope of line n

     -4/3 x S = -1

      (-3/4 x -4/3) x S = -1 x -3/4

       S = 3/4

    Slope of line n is 3/4

      Next find the Y-intercept of line n

     Since line n contains (2,3) we can use 3 as the y-intercept of line n

          Hence, the equation of line n is Y = 3/4x + 3