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bucschick12 bucschick12
wrote...
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12 years ago
without plotting it all out?

For example:

1. Fine the slope of a line perpendicular to this line.
y = 4x + 7

2. From the given slopes, determine whether the corresponding lines are parallel, perpendicular, or neither.
-1/2 and -2

Also, if lines are perpendicular, they intersect .. right?

Test tomorrow - please help!  I need to review & I've forgotten most things. ]:
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wrote...
#1
12 years ago
parallel lines have the same slope, perpendicular lines have negative reciprocal slopes. For example: y=2x+5 is perpendicular to y=-1/2x + 4. The y-intercept has no effect on slope.
negative reciprocal means you flip the fraction and make it negative. 4/5 is perpendicular to -5/4. And yes, perpendicular lines can intersect
wrote...
#2
12 years ago
1. -1/4 (Perpendicular means the slope will be a negative reciprocal. Ex. 5 will be turned into -1/5)

2. Neither.

If lines are perpendicular, not only do they intersect, they intersect at a 90 degree angle.

Hope that helps and good luck!
wrote...
#3
12 years ago
1. The slope of the perpendicular line is the negative
reciprocal of the slope of the given line. The slope of
the given line is 4 so the slope of the perpendicular
line is -1/4.

2. Since the slopes are neither identical (lines are
parallel) or negative reciprocals (perpendicular) and
presuming they are in the same plane, they must
intersect.

3. If they are perpendicular they intersect by definition.
wrote...
#4
12 years ago
Perpendicular lines intersect to create right angles.

to find theslope of a line perpendicular to

y = 4x + 7 you just need to take the slope, flip it over, and make it the opposite sign.

4/1
1/4
-1/4

and the y-int. can be anything.

y = -1/4x + 6

2. they are neither, because parallel line slopes are equal, and i already explained perpendicular slopes, so... yeah.
wrote...
#5
12 years ago
The slope of the perpendicular line is the negative
reciprocal of the slope of the given line.
wrote...
#6
12 years ago
we consider y=mx+d
in these quations "m" ( x factor ) is always the slope.
here it's 4
we have also this formula ( if we had points)
 m= y2 - y1 /x2 - x1

2. when we have two sloped if m1= m2 these two lines are parallel
and if m1= 1/m2 they are perpendicular
so here we have -2 = 1 / -1/2  so m1= 1/m2 so they are perpendicular.
 
and for ur third Q , the answer is yes . they are intersect relates to each other .

hope it helps u Slight Smile
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