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)

Question

asked Mar 10, 2022 192k views

1 Answer

Jbgt · Answer 1 · 2022-03-16T02:06:53+0000

Answer:

C

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:

$\displaystyle y-\Big(-(1)/(2)\Big)=3(x-(2))$

Simplify:

$\displaystyle y+(1)/(2)=3(x-2)$

Therefore, our answer is C.