Answer:
y = -2
Step-by-step explanation:
We are given two points:
and the slope between them:
Using this information and the definition of slope:
- \(m=\dfrac{\Delta y}{\Delta x}\)
we can solve for the missing y-coordinate of the first point.
First, we can rewrite the general slope definition using two points:
\(m = \dfrac{d-b}{c-a}\) for the points: \((a,b)\) and \((c,d)\)
(Note: we can choose either point to be \((a,b)\))
Plugging in the given values, we can solve for y:
\(-3 = \dfrac{y-4}{3-1}\)
\(-3=\dfrac{y-4}{2}\)
\(-6=y-4\)
\(\boxed{y=-2}\)
