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)