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)

Answer 1

Answer:

y – 1/3 = 3/4 (x – 4)

Step-by-step 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:

$y-y_1=m(x-x_1)\\y-\frac{1}{3}=\frac{3}{4}(x-4)$

Hence, 2nd option is the right answer.