document.write( "Question 176295: 1.Determine the slope that passes through each pair of points.
\n" ); document.write( "(-2,-8)(1,4)\r
\n" ); document.write( "\n" ); document.write( "2. Write an equation in standard form.
\n" ); document.write( "(4,-3) m=2\r
\n" ); document.write( "\n" ); document.write( "3. Write an equation in standard form.
\n" ); document.write( "(-6,-3)m=1/2\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #131377 by EMStelley(208)\"\" \"About 
You can put this solution on YOUR website!
For the first question, you need to know the equation for slope. If you have two points, (a,b) and (c,d), the slope of the line that passes through them is
\n" ); document.write( "m=(d-b)/(c-a)
\n" ); document.write( "So the slope of the line passing through (-2,-8) and (1,4) would be
\n" ); document.write( "m=(4-(-8))/(1-(-2))=(4+8)/(1+2)=12/3=4
\n" ); document.write( "Now, I will help you with the second one, and then you will be able to do the third one on your own:
\n" ); document.write( "If you have a point (x1,y1) and a slope m, you can write the equation of the line as
\n" ); document.write( "y-y1=m(x-x1)
\n" ); document.write( "So in this case we have
\n" ); document.write( "y-(-3)=2(x-4)
\n" ); document.write( "So
\n" ); document.write( "y+3=2x-8
\n" ); document.write( "and last, subtract 3 to get
\n" ); document.write( "y=2x-11 \n" ); document.write( "
\n" );