document.write( "Question 174707: 1.Write the equation of a line with a slope of 2 if f(-1)=5.\r
\n" ); document.write( "\n" ); document.write( "2. For each equation describe the SHAPE of the graph:\r
\n" ); document.write( "\n" ); document.write( "a) x-2y=4
\n" ); document.write( "b) y=(x)(x)-4
\n" ); document.write( "c)y=the absolute value of x+4
\n" ); document.write( "d) y-2= -(x+2)
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Algebra.Com's Answer #129757 by Alan3354(69443)\"\" \"About 
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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
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\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).
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\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).
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\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.
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