Answer :
Answer:
y = [tex]\frac{1}{2}[/tex] x + 3
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 )
given the equation
y = [tex]\frac{1}{2}[/tex] x + 2 ← in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
• Parallel lines have equal slopes , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c, substitute (4, 5 ) for x and y into the partial equation
5 = [tex]\frac{1}{2}[/tex] (4) c = 2 + c ( subtract 2 from both sides )
3 = c
y = [tex]\frac{1}{2}[/tex] x + 3 ← equation of parallel line
