Answer:
y=-x+6
Explanation:
We'll use the point-slope form of a linear equation:
\(y - y_1 = m(x - x_1)\)
Where \(m\) is the slope, and \((x_1, y_1)\) is a point on the line.
First, calculate the slope (m):
\(m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 - 3}{-1 - 3} = \frac{4}{-4} = -1\)
Now that we have the slope, we can choose either of the two points to plug into the equation. Let's use (3,3):
\(y - 3 = -1(x - 3)\)
Now, simplify:
\(y - 3 = -x + 3\)
Add 3 to both sides:
\(y = -x + 6\)
So, the equation of the line is \(y = -x + 6\).