contestada

Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
A) y-2=3(x+1/2). B)y-3=2(x+1/2)
C)y+1/2=3(x-2)
D)y+1/2=2(x-3)

Respuesta :

xKelvin

Answer:

C

Step-by-step explanation:

The line passes through the point (2, -1/2) and has a slope of 3.

We can use the point-slope form, given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where (x₁, y₁) is a point, and m is the slope.

Let (2, -1/2) be (x₁, y₁). We will substitute 3 for m. Therefore:

[tex]\displaystyle y-\Big(-\frac{1}{2}\Big)=3(x-(2))[/tex]

Simplify:

[tex]\displaystyle y+\frac{1}{2}=3(x-2)[/tex]

Therefore, our answer is C.

Otras preguntas