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18 votes
18 votes
The following lines are parallel. 6x + 3y = 7 and y = -2x + 3

True
False

User Subhadarshi Samal
by
3.2k points

1 Answer

11 votes
11 votes

Answer:

True

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 )

6x + 3y = 7 ( subtract 6x from both sides )

3y = - 6x + 7 ( divide terms by 3 )

y = - 2x +
(7)/(2) → in slope- intercept form

with slope m = - 2

y = - 2x + 3 ← is in slope- intercept form

with slope m = - 2

since both lines have equal slopes then they are parallel lines

User Konstantin Rudy
by
2.7k points