Answer:
(a) Same slope and different y intercept
Explanation:
Given
Required
Are the lines, parallel?
To do this, we first convert both equations to slope intercept;
Where
So, we have:
Solve for 7y
Solve for y
So, the two equations are now:
When two lines have the same slope but different y intercepts, then they are parallel.
Recall that:
In
So:
In
and
The slopes are:
and
The y intercepts are:
and
Since the values of m (the slope) are the same and the values of b (the y intercepts) are differenr, then they are parallel