document.write( "Question 503398: What point would I use and how would I graph this? y=-3x-2 \n" ); document.write( "

Algebra.Com's Answer #339224 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
You need two points to draw a line.
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\n" ); document.write( "The y-intercept and x-intercept are often useful points to know, if only because problems ask for them.
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\n" ); document.write( "y = mx + b is the slope-intercept form of the equation.
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\n" ); document.write( "y = -3x -2 reveals the slope and y-intercept
\n" ); document.write( "m=-3, the slope
\n" ); document.write( "b=-2, the y-intercept
\n" ); document.write( "which is the point (0,-2)
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\n" ); document.write( "The x-intercept is the value of x when y = 0.
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\n" ); document.write( "Substitute y =0 in the equation to show
\n" ); document.write( "3x -2 = 0
\n" ); document.write( "add 2 to both sides
\n" ); document.write( "3x = 2
\n" ); document.write( "divide both sides by 3
\n" ); document.write( "x = 2/3
\n" ); document.write( "So the x-intercept is the point (2/3,0)
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\n" ); document.write( "But you can pick any value of 'x' and compute the value of 'y' to define the (x,y) coordinates.
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\n" ); document.write( " $\"graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C3%2Ax-2%29\"$
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