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.<br /><br />Substituting the given values, we have:<br />$y - (-3) = \frac{1}{2}(x - 6)$<br /><br />Simplifying this equation, we get:<br />$y + 3 = \frac{1}{2}x - 3$<br />$y = \frac{1}{2}x - 6$<br /><br />Therefore, the equation that represents the line passing through the point $(6,-3)$ with a slope of $\frac{1}{2}$ is $y = \frac{1}{2}x - 6$.