Answer:
Step-by-step explanation:
We will first find the slope of the line from those 2 points, then write the equation of the line in slope-intercept form, solving for b, the y-intercept.
[tex]m=\frac{13-19}{6-(-3)}=-\frac{6}{9}=-\frac{2}{3}[/tex]
So the slope is -2/3. We will choose a point now to use in the slope-intercept equation. I'm picking the one with no negatives (cuz who likes negatives!?).
[tex]13=-\frac{2}{3}(6)+b[/tex] which simplifies down to
13 = -4 + b so
b = 17
The y-intercept of the line that goes through those 2 points is (0, 17)