Question

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

y – 3/4 = 1/3(x – 4)
y – 1/3 = 3/4(x – 4)
y – 1/3 = 4(x – 3/4 )
y – 4 = 3/4(x – 3/4 )

Answer 1

y - y1 = m(x - x1)
slope(m) = 3/4
(4,1/3)....x1 = 4 and y1 = 1/3
now we sub
y - 1/3 = 3/4(x - 4) <===

Answer 2

The correct option is 2.

Explanation:

The point slope form of a line is

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

Where, m is slope.

The line passes through (4, 1/3 ) and has a slope of 3/4.

The equation of line is

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

Therefore the correct option is 2.