Find the equation of the line passing through the given point and perpendicular to the given equation write your answer in slope intercept form. (3,4) and y= -4/9x-3

Step-by-step explanation:

To find the slope of a line perpendicular to y = (-4/9)x - 3, take the negative reciprocal of this slope -4/9.  The slope of the new line is thus 9/4.

Now we have this data to work with:  m = 9/4, y = 4 and x = 3.  Subbing this info into y = mx + b, to obtain the value of b, we get:

4 = (9/4)(3) + b, or

4 = 3/4 + b.  Thus, b = 3  1/4, or b = 13/4.

The desired equation is

y = (9/4)x + 13/4.

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

answer: 40.95

step-by-step explanation: