How Do You Find the Slope of a Line If You Have a Parallel Line?

'x' and 'y' are variables
L₁ is our line, y=2x-2
L₂ is a line that's parallel to L₁
Parallel lines never cross one another
y=mx+b is the general slope-intercept form of a line
'b' is the y-intercept
Parallel lines do not have the same y-intercept
The coefficient in front of 'x' in slope-intercept form, 'm', is always the slope of the line

1. Parallel lines never cross one another
1. We need to pick out the slope of L₁ by looking at the equation y=2x-2
1. 'b' is the y-intercept
2. Parallel lines do not have the same y-intercept
3. The coefficient in front of 'x' in slope-intercept form, 'm', is always the slope of the line
1. The coefficient in front of 'x' in slope-intercept form, 'm', is always the slope of the line
2. In this case, m=2
1. Any two parallel lines will have the same slope
2. Since the two lines are parallel, L₂ must have the same slope as L₁, y=2x-2

Find the slope of a line that is parallel to the line y = 2x – 2.