Question

Choose the equation that represents the line that passes through the point (6,-3,) and has a slope of 1/2

Answer 1

`y=(1)/(2)x-6`

Explanation:

The general equation of a line:
`y = ax+b`

In our case a is given

`a=(1)/(2)`

Now we plug in for a and we get:

`y=(1)/(2)*x+b`

Now we plug in our coordinates into this equation and we solve for b

`-3=(1)/(2)*6+b\\b = -6`

So the equation of the line is
`y=(1)/(2)x-6`

Answer 2

`y=(1)/(2)x-6`

Explanation:

Since the Inclination of the line was already given to us. Let us use Inclination of line formula:

`m=(y-y_0)/(x-x_0)`

Plugging it in those values then we have the equation of the line:

`(1)/(2)=(y+3)/(x-6)`

Rewriting, multiplying both sides

2y+6=x-6

2y=x-12 Rearranging

`y=(1)/(2)x-6`