Question

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

1. y= 1/2x+6
2. y=1/2x-6
3. y=1/2x-3
4. y=1/2x +3

Answer 1

The equation of the line that passes through the point (6, -3) with a slope of 1/2 is y = 1/2x - 3, which corresponds to option 3.

Step-by-step explanation:

To find the equation of the line that passes through the point (6, -3) with a slope of 1/2, we can use the point-slope form of the line's equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through. Substituting the given values into this formula, we get:

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

y + 3 = 1/2x - 3

By rearranging the equation to the slope-intercept form (y = mx + b), we find:

y = 1/2x + 3 - 3

y = 1/2x

So, the equation that represents the line is y = 1/2x - 3. Therefore, the correct choice is option 3.