f(x) = - [tex]\frac{6}{7}[/tex] x + [tex]\frac{53}{7}[/tex]
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = - [tex]\frac{6}{7}[/tex]
partial equation is y = - [tex]\frac{6}{7}[/tex] x + c
to find c substitute (3, 5 ) into the partial equation
5 = - [tex]\frac{18}{7}[/tex] + c ⇒ c = [tex]\frac{53}{7}[/tex]
f(x) = - [tex]\frac{6}{7}[/tex] x + [tex]\frac{53}{7}[/tex]
