State whether the lines represented by the equations \( y = \frac{1}{2}x - 1 \) and \( y + 4 = -\frac{1}{2}(x - 2) \) are parallel, perpendicular, or neither.
Answer (2)
Parallel because they have the same slope. Y+4= -1/2(x-2) is in point slope form, simplified to y intercept form is y=1/2-5... The slope (m) in both equations is the same, if you graphed the equations they would be parallel
The two lines represented by the equations y = 2 1 x − 1 and y + 4 = − 2 1 ( x − 2 ) are neither parallel nor perpendicular. The slope of the first line is 2 1 , and the slope of the second line is − 2 1 . Their product is − 4 1 , which does not meet the conditions for being parallel or perpendicular.
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