document.write( "Question 174707: 1.Write the equation of a line with a slope of 2 if f(-1)=5.\r
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document.write( "2. For each equation describe the SHAPE of the graph:\r
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document.write( "a) x-2y=4
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document.write( "b) y=(x)(x)-4
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document.write( "c)y=the absolute value of x+4
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document.write( "d) y-2= -(x+2) \n" );
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Algebra.Com's Answer #129757 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 1.Write the equation of a line with a slope of 2 if f(-1)=5. \n" ); document.write( "f(-1) = 5 means that when x = -1, y = 5, so that's the point (-1,5). \n" ); document.write( "Now the problem is to find the eqn of the line thru (-1,5) with a slope of m=2. \n" ); document.write( "y - y1 = m*(x - x1) where (x1,y1) is the point (-1,5) \n" ); document.write( "y-5 = 2*(x - (-1)) \n" ); document.write( "y-5 = 2x + 2 \n" ); document.write( "y = 2x + 7 \n" ); document.write( "--------------- \n" ); document.write( "2. For each equation describe the SHAPE of the graph: \n" ); document.write( "a) x-2y=4 \n" ); document.write( "It's a linear eqn, so the graph is a straight line. Put it into slope-intercept form: y = (1/2)x - 2 --> it has a slope of +1/2, and it crosses the y-axis at (0,-2). \n" ); document.write( "------------ \n" ); document.write( "b) y=(x)(x)-4 \n" ); document.write( "Do you mean x^2 - 4? If so, it's a parabola symmetrical about the y-axis crossing the x-axis at (-2,0) and (2,0), and its vertex is at (0,-4). \n" ); document.write( "------------------------------ \n" ); document.write( "c)y=the absolute value of x+4 \n" ); document.write( "d) y-2= -(x+2) \n" ); document.write( "y = -x \n" ); document.write( "A straight line thru the origin with a slope of -1. \n" ); document.write( " \n" ); document.write( " |