Answer
The equation of that specified line is: $y = -x + 2$
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 = -1.
$y = -x + b$
3. Now we can use the coordinates $(-2 , 4)$ to solve for b.
Since, the line pass through $(-2,4)$, we know that x = 2 and y = 4 is a solution for that equation, so we can substitute these values and solve for b.
$4= -(-2) + b$
$4 = 2 + b$
$4 - 2 = 2 + b - 2$
$2 = b$
4. Now, rewrite the equation of the line, substituting the value for m and b:
$y = -x + 2$
