Question

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

Answer 1

Answer:

$y=\frac{1}{2}x-6$

Step-by-step explanation:

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

In our case a is given

$a=\frac{1}{2}$

Now we plug in for a and we get:

$y=\frac{1}{2}*x+b$

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

$-3=\frac{1}{2}*6+b\\b = -6$

So the equation of the line is $y=\frac{1}{2}x-6$

Answer 2

Answer:

$y=\frac{1}{2}x-6$

Step-by-step explanation:

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

$m=\frac{y-y_0}{x-x_0}$

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

$\frac{1}{2}=\frac{y+3}{x-6}$

Rewriting, multiplying both sides

2y+6=x-6

2y=x-12 Rearranging

$y=\frac{1}{2}x-6$