Question

Which equation represents a line that passes through (4,1/3) and has a slope of 3/4?

A. Y-3/4=1/3 (x-4)
B. Y-1/3=3/4(x-4)
C.y-1/3=4(x-3/4)
D.y-4=3/4(x-1/3)

Answer 1

`\large\boxed{B.\ y-(1)/(3)=(3)/(4)(x-4)}`

Explanation:

The point-slope form of an equation:

`y-y_1=m(x-x_1)`

m - slope

We have

`m=(3)/(4),\ \left(4,\ (1)/(3)\right)`

Substitute:

`y-(1)/(3)=(3)/(4)(x-4)`