Answer:
the desired equation is y = (3/5)x + 4
Step-by-step explanation:
Solving the given 5x + 3y = -21 for 3y yields 3y = -5x - 21. Dividing all three terms by 3, we get:
y = (-5/3)x - 7, indicating that the given line has slope -5/3.
The slope of a line perpendicular to this y = (-5/3)x - 7 is 3/5, the negative reciprocal of -5/3.
Start with y = mx + b. Substitute 1 for y, -5 for x and 3/5 for m. Then:
1 = (3/5)(-5) + b, or
1 = -3 + b. Then b must be 4, and so the desired equation is y = (3/5)x + 4.
