Answer:
y- intercept = 5
Step-by-step explanation:
Obtain the equation of the line in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
calculate the slope m, using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
let (x₁, y₁ ) = (3, 3 ) and (x₂, y₂ ) = (6, 1 )
substitute these values into the formula for m
m = [tex]\frac{1-3}{6-3}[/tex] = [tex]\frac{-2}{3}[/tex] = - [tex]\frac{2}{3}[/tex] , then
y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
to find c, substitute either of the 2 points into the partial equation
using (3, 3 ) for x and y in the partial equation
3 = - [tex]\frac{2}{3}[/tex] (3) + c = - 2 + c ( add 2 to both sides )
5 = c
y = - [tex]\frac{2}{3}[/tex] x + 5 ← equation in slope- intercept form
with y- intercept c = 5 or (0, 5 ) in coordinate form
