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
Quick Check:
A 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, note that's not the answer
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
