Respuesta :

y-5=3/4(x-6) = yes
y-5=-4/3(x-2) = no
y-2=-3/4(x-6) = no
y-2=3/4(x-2) = yes

Assuming (6,5) and (2,2) would fit the line y=.75x+0.5

The slope of the line passing through the points (6,5) and (2,2) = [tex]\frac{2-5}{2-6}= \frac{-3}{-4} =\frac{3}{4}[/tex]

Equation of line passing through two point (6,5) having a slope [tex]\frac{3}{4}[/tex] is:

[tex]y-5=\frac{3}{4}(x-6)[/tex]

The line also passes through point (2,2)

Equation of line passing through (2,2) point is :

[tex]y-2=\frac{3}{4}(x-2)[/tex]

The first and fourth equations are the right answer.

[tex]y-5=\frac{3}{4}(x-6)[/tex]

[tex]y-2=\frac{3}{4}(x-2)[/tex]