Question

Find the y intercept (-3,19) and (6,13)

Answer 1

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.

$m=\frac{13-19}{6-(-3)}=-\frac{6}{9}=-\frac{2}{3}$

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!?).

$13=-\frac{2}{3}(6)+b$ 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)