SOLUTION: Without graphing, determine the lines represented by y = 2x + 3 and 2x + y = 7 are parallel, perpendicular, or neither.

Question 910042: Without graphing, determine the lines represented by y = 2x + 3 and 2x + y = 7 are parallel, perpendicular, or neither.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
You can identify the slope of each equation.
First one: slope is 2.
Second one: slope is -2.
The first is in slope-intercept form, so slope is quickly read.
The second is in standard form and a simple mental interpretation can be made if you learn how this works for standard form. You could also solve for y to put the equation into slope-intercept form.

Knowing how the two lines are oriented should be well understood.
Are the slopes equal?
Are the slope negative reciprocals?
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