Question

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

Answer 1

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.