Question 1 (Multiple Choice Worth 1 points) (02.04 MC) Choose the equation that represents the line that passes through the point (6,-3) and has a slope of (1)/(2) y=(1)/(2)x+6 y=(1)/(2)x-6 y=(1)/(2)x-3 y=(1)/(2)x+3

To find the equation of the line that passes through the point $$(6,-3)$$ and has a slope of $$\frac{1}{2}$$ , we can use the point-slope form of a linear equation: $$y - y_1 = m(x - x_1)$$ , where $$(x_1, y_1)$$ is the given point and $$m$$ is the slope.

Substituting the given values, we have:
$$y - (-3) = \frac{1}{2}(x - 6)$$

Simplifying this equation, we get:
$$y + 3 = \frac{1}{2}x - 3$$
$$y = \frac{1}{2}x - 6$$

Therefore, the equation that represents the line passing through the point $$(6,-3)$$ with a slope of $$\frac{1}{2}$$ is $$y = \frac{1}{2}x - 6$$ .