Answer:
y = [tex]\frac{1}{2}[/tex] x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange x - 2y = - 5 into this form
subtract x from both sides
- 2y = - x - 5 ( divide all terms by - 2 )
y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{2}[/tex] ← in slope-intercept form
with slope m = [tex]\frac{1}{2}[/tex]
• Parallel lines have equal slopes
Hence m of parallel line = [tex]\frac{1}{2}[/tex]
Since the line passes through (0, 0) ⇒ c = 0
y = [tex]\frac{1}{2}[/tex] x ← equation of line
