Question

Which equation represents a line that passes through (2, -1/2) and has a slope of 3?

Answer 1

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:

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

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:

$\displaystyle y-\Big(-\frac{1}{2}\Big)=3(x-(2))$

Simplify:

$\displaystyle y+\frac{1}{2}=3(x-2)$

Therefore, our answer is C.