Question

Choose the point-slope form of the equation below that represents the line that passes through the point (6, -3) with a slope of 1/2.

Answer 1

The point-slope form is

`y = mx + b`
m, the slope, is 1/2.
To find b, we plug in the point (6,-3) to the equation:

`y = (1)/(2) x + b \\ ( - 3) = (1)/(2) (6) + b \\ - 3 = 3 + b \\ - 6 = b`
First, we multiply 1/2 × 6 = 3. Then we subtract 3 from both sides. We find that b is -6.

Therefore, the point-slope equation is:

`y = (1)/(2) x - 6`
This is the second option.