Lines that are parallel will have the same slope. Lines that are perpendicular will have slopes that are the negative reciprocal of each other.
<em>(a) </em><span><em>parallel to the line y=2x-4, and has a y-intercept of 7</em> </span>slope of first line: 2 slope of second line: 2 y=mx + b <span>y=2x+7 </span> <em>(b) parallel to the line y-3x=6, and has a y-intercept of -2</em> y=3x+6 slope of first line: 3 slope of second line: 3 y=mx + b y=3x-2
<em>(c) </em><span><em>parallel to the line 2x+3y=12, and that passes through the origin</em> </span>3y=-2x+12 y=-2/3x+4 slope of first line: -2/3 slope of second line: -2/3 origin: (0,0) y=mx + b y=-2/3x + 0 y=-2/3x
<em>(d) </em><span><em>perpendicular to the line y=3x+2, and has a y-intercept of 2</em> </span>slope of first line: 3 slope of second line: -1/3 y=mx + b y=-1/3x + 2
<em>(e) </em><span><em>perpendicular to the line 3y+4x=18, and that passes through the origin</em> 3y=4x+18 y=4/3x+6 </span>slope of first line: 4/3 slope of second line: -3/4 origin: (0,0) y=mx + b y=-3/4x + 0 y=-3/4x
The number system in most common use today is the Arabic system. It was first developed by the Hindus and was used as early as the 3rd century BC. The introduction of the symbol 0, used to indicate the positional value of digits was very important.
