Answer:
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.
