Answer
The equation of that specified line is: $y = -3x + 11$
Work Step by Step
1. The pattern equation for a line is:
$y = mx + b$
2. "m" represents the slope. So, according to the exercise: m = -3.
$y = -3x + b$
3. Now we can use the coordinates $(3 , 2)$ to solve for b.
Since, the line pass through $(3,2)$, we know that x = 3 and y = 2 is a solution for that equation, so we can substitute these values and solve for b.
$2 = -3(3) + b$
$2 = -9 + b$
$2 + 9 = -9 + b + 9$
$11 = b$
4. Now, rewrite the equation of the line, substituting the value for m and b:
$y = -3x + 11$
