Question

PLEASE HELP ASAP

A line passes through the points (6,5) and (2,2) .

Select Yes or No to tell whether each equation describes this line.

Answer 1

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

Answer 2

The slope of the line passing through the points (6,5) and (2,2) =
`(2-5)/(2-6)= (-3)/(-4) =(3)/(4)`

Equation of line passing through two point (6,5) having a slope
`(3)/(4)` is:

`y-5=(3)/(4)(x-6)`

The line also passes through point (2,2)

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

`y-2=(3)/(4)(x-2)`

The first and fourth equations are the right answer.

`y-5=(3)/(4)(x-6)`

`y-2=(3)/(4)(x-2)`