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Answer:
y = 2x - 7
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 )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
To find c substitute (5, 3 ) into the partial equation
3 = 10 + c ⇒ c = 3 - 10 = - 7
y = 2x - 7 ← equation of parallel line
Answer:
y = 2x - 7
Step-by-step explanation:
First line: y = 2x + 3 , m = 2
Second line: m = 2 and pass ( 5 , 3 )
y - 3 = 2( x - 5 ) ⇔ y = 2x - 7