Roberto A. answered • 07/13/13

Experienced tutor in various subjects (GED, ASVAB, K-6th, Math)

Both equations are written using the slope-intercept form, that is y=**m**x+**b**. The variables. "**m**" and "**b**" represent the slope and y-intercept, respectively.

Now that you know this information, you can tell that in the first line, y=**3**x+4, the slope, or rise over run, is 3.

In the second line, y=**3**x+7, your slope is also 3. *Any two lines with an identical slope will always be parallel*. The only difference between these two lines, as consistent with the slope-intercept form, is your y-intercept. The y-intercept is where your line will, as the name indicates, intercept the y-axis, which is the vertical axis.

Hope this helped!