Question

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)

Answer 1

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.