Are the two lines parallel?

2x - y = 1

and

2y - 4x = 7

2x - y = 1

and

2y - 4x = 7

**Parallel lines have equal slopes.**

**Slope-intercept form is y = mx + b**

m is the slope

b is the y-intercept

m is the slope

b is the y-intercept

**2x - y = 1**

-y = -2x + 1 {subtracted 2x from each side}

y = 2x - 1 {divided each side by -1}

**slope is 2**

**2y - 4x = 7**

2y = 4x + 7 {added 4x to each side}

y = 2x + (7/2) {divided each side by 2}

**slope is 2**

Slopes are equal.

**The lines are parallel.**

As shown by using the graphing calculator:

*- Algebra House*