document.write( "Question 1045569: What is the equation of a line that goes through the following points: (0, 2) & (4, 8)\r
\n" ); document.write( "\n" ); document.write( "A.) y = 3/2x + 3
\n" ); document.write( "B.) y = 3/2x + 2
\n" ); document.write( "C.) $\"+y+=+2x+%2B+2+\"$
\n" ); document.write( "D.) $\"+y+=+2x+%2B+3+\"$
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #661029 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

Solved by pluggable solver: Find the equation of line going through points

hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (0, 2) and (x2, y2) = (4, 8).
\n" ); document.write( " Slope a is $\"a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%288-2%29%2F%284-0%29+=+1.5\"$ .
\n" ); document.write( " Intercept is found from equation $\"a%2Ax%5B1%5D%2Bb+=+y%5B1%5D\"$ , or $\"1.5%2A0+%2Bb+=+2\"$ . From that,
\n" ); document.write( " intercept b is $\"b=y%5B1%5D-a%2Ax%5B1%5D\"$ , or $\"b=2-1.5%2A0+=+2\"$ .
\n" ); document.write( "
\n" ); document.write( " y=(1.5)x + (2)
\n" ); document.write( "
\n" ); document.write( " Your graph:
\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so, $\"y=1.5x+%2B+2\"$ , and since $\"1.5=3%2F2\"$ , your answer is B.) $\"y+=+%283%2F2%29x+%2B+2\"$ \n" ); document.write( "

\n" );