A math teacher assigns three projects. She gives the students five project options to choose from. How many different groups of
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The equation of a line in Slope-Intercept form, is:
Where "m" is the slope of the line and "b" is the y-intercept.
By definition:
- The slopes of parallel lines are equal and the y-intercepts are different.
- The slopes of perpendicular lines are opposite reciprocals.
For this case you need to rewrite the equations given in the exercise in Slope-Intercept form by solving for "y".
- Line #1:
You can identify that:
- Line #2:
You can identify that:
Therefore, since:
You can conclude that: The graphs of the equation are parallel.