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

Respuesta :

Answer:

y – 1/3 = 3/4 (x – 4)

Step-by-step explanation:

The equation of a line is given by  [tex]y-y_1=m(x-x_1)[/tex]

Where

m is the slope, and

[tex](x_1,y_1)[/tex] 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 [tex](x_1,y_1)[/tex]

Plugging it into the formula, we get:

[tex]y-y_1=m(x-x_1)\\y-\frac{1}{3}=\frac{3}{4}(x-4)[/tex]

Hence, 2nd option is the right answer.