The equation of line L is y=5x+1
1 answer:
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
L₁ is y = 5x + 1 ← in slope- intercept form
with slope m = 5
L₂ is 2y - 10x + 3 = 0 ( subtract - 10x + 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x - ← in slope- intercept form
with slope m = 5
Since L₁ and L₂ have equal slopes then they are parallel lines
You might be interested in
Answer:
y = 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 )
y = - x - 3 ← is in slope- intercept form
with slope m = -
Parallel lines have equal slopes , then
y = - x + c ← is the partial equation of line d
to find c substitute (- 2, - 2 ) into the partial equation
- 2 = + c ⇒ c = - 2 -
= -
y = - x -
← equation of line d