document.write( "Question 18818: Please help - my son is having problems, & I can't help - here is the ?
\n" ); document.write( "Write the standard form of an equation of the line that passes through the given point and has the give slope
\n" ); document.write( "(1,1), 1/4 \n" ); document.write( "

Algebra.Com's Answer #9028 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
The standard form for a linear equation is: Ax + By = C
\n" ); document.write( "Since you are given the slope $\"m+=+1%2F4\"$ and a point on the line (1, 1), you could start with the slope-intercept form of the equation:
\n" ); document.write( " $\"y+=+mx+%2B+b\"$ Substitute the given slope $\"m+=+1%2F4\"$
\n" ); document.write( " $\"y+=+%281%2F4%29x+%2B+b\"$ Now substitute the x- and y-coordinates from the given point and solve for b, the y-intercept.
\n" ); document.write( " $\"1+=+%281%2F4%29%281%29+%2B+b\"$ Subtract $\"1%2F4\"$ from both sides.
\n" ); document.write( " $\"3%2F4+=+b\"$ Now write the slope-intercept form of the equation:
\n" ); document.write( " $\"y+=+%281%2F4%29x+%2B+3%2F4\"$ Finally, convert this to the standard form: $\"Ax+%2B+By+=+C\"$
\n" ); document.write( " $\"%281%2F4%29x+-+y+=+-+3%2F4\"$ Clear the fractions by multiplying through by the denominator (4).
\n" ); document.write( " $\"x+-+4y+=+-3\"$ There it is!\r
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