Question

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

True
False

Answer 1

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