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 – 1/3)

ina test answer quick

Answer 1

y – 1/3 = 3/4 (x – 4)

Explanation:

The equation of a line is given by
`y-y_1=m(x-x_1)`

Where

m is the slope, and

`(x_1,y_1)` is the coordinates of the point given

It is giventhat the slope is 3/4, so m = 3/4. Also, the point is (4, 1/3) so this is
`(x_1,y_1)`

Plugging it into the formula, we get:

`y-y_1=m(x-x_1)\\y-(1)/(3)=(3)/(4)(x-4)`

Hence, 2nd option is the right answer.