document.write( "Question 535246: Can you help me with two slope equations I need to write.\r
\n" ); document.write( "\n" ); document.write( "1) write a POINT-SLOPE equation for the line with the given slope that contains the given points m=7/2; (-3.4) and\r
\n" ); document.write( "\n" ); document.write( "2) write a SLOPE-INTERCEPT equation for the line containing the given pair of points (-2,0) and (0,3)
\n" ); document.write( "Thanks in advance.
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Algebra.Com's Answer #351812 by fcabanski(1391)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Point slope form is y-y1 = m (x-x1): Keep in mind y1 and x1 mean y sub 1 and x sub 1, the y and x-coordinate for the point you'll use.

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\n" ); document.write( "\n" ); document.write( "x1 = -3 and y1=4 and m 7/2

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\n" ); document.write( "\n" ); document.write( "y-4=(7/2)(x+3) (x-(-3) = x+3).

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\n" ); document.write( "\n" ); document.write( "For the second problem remember the slope-intercept equation is y=mx+b where m is the slope and b is the y-intercept (y when x=0).

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\n" ); document.write( "\n" ); document.write( "We need a slope, and one point to find the equation. We'll use one point and the slope to find the b value. First we have to find the slope which is


\n" ); document.write( "Difference in y divided by difference in x


\n" ); document.write( "(y-y1) / (x-x1) It doesn't matter which point we choose as (x,y) and which as (x1,y1).

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\n" ); document.write( "\n" ); document.write( "We'll use (-2,0) as (x,y) and (0,3) as (x1,y1)

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\n" ); document.write( "\n" ); document.write( "slope=m=(0-3)/(-2-0) = -3/-2 = 3/2.

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\n" ); document.write( "\n" ); document.write( "Plug that slope and the values for either point into y=mx+b to find b. We'll use (-2,0)

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\n" ); document.write( "\n" ); document.write( "0=(3/2)(-2)+b ---> 0 = -3 + b (add 3 to both sides) 3=b.

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\n" ); document.write( "\n" ); document.write( "We have b=3 and m = 3/2, so the slope-intercept equation y=mx+b is:


\n" ); document.write( "y = (3/2)x + 3 \n" ); document.write( "

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