**Answer:**

The answer is **y=-x+3**

**Step-by-step explanation:**

The first step to do is to figure out what angle the perpendicular would be at:

Considering that line s has a slope of 1, then line t would have a slope of -1

<u><em>Quick Check:</em></u>

<em>A </em>perpendicular line is the inverse of the original line, giving it an angle of 90° where they intersect. You'll find it by flipping the numerator and denominator of a fraction them making it negative.

The next step is to line it up with the point (1,2). The y-intercept does not change when you're making a line perpendicular.

So the equation so far is y = -x -8, <u>note that's not the answer</u>

The last step is to simply use logic, as if a line needs to intersect with a point on a graph, you can just backtrack.

Knowing that each x value that you move forward on the graph, the you go down 1 on the y axis, by using 3 as the y-intercept, you're on the right track.

By using (0,3) as the y-intercept, and moving right 1 and then down 1 (to match with line t's slope), you'll get to the point (1, 2)

The final answer as a result of this will be:

**y=-x+3 **