y=1/2x=5;(4,-3) Says to write a equation in slope-intercept form for the line that is parallel to the given line and that passes through the

y=1/2x+5;(4,-3) Says to write a equation in slope-intercept form for the line that is parallel to the given line and that passes through the given point.

$$\small{\text{ given line: }} y=\frac{1}{2}x+5 \qquad m = \frac{1}{2}\\\\ \small{\text{ line parallel: }} y=\frac{1}{2}x+b \quad\small{\text{ m must be equal for the parallel line.}}\\ \small{\text{The Point }} (4,-3) \small{\text{ gives us b: }} \\ -3 = \frac{1}{2}*(4) + b\\ -3 -\frac{1}{2}*(4) = b\\ -3 -2 = b\\ b = -5 \\\\ \small{\text{ line parallel: }} y = \frac{1}{2}x - 5$$

4y=x (4,0)