document.write( "Question 653292: 3. Write an equation in slope-intercept form of the line with the given properties.
\n" ); document.write( "slope -7, passes through (7,4)\r
\n" ); document.write( "\n" ); document.write( "Please help me determine
\n" ); document.write( "

Algebra.Com's Answer #408325 by Shana-D77(132)\"\" \"About 
You can put this solution on YOUR website!
When you're given a slope and a point, it's best to use the point-slope form of the equation. \"The\" equation means the linear (straight line) equation. The point slope form is:
\n" ); document.write( "

\n" ); document.write( "y = y1 = m(x - x1).
\n" ); document.write( "((side note: this is actually the slope formula, just rearranged.))
\n" ); document.write( "

\n" ); document.write( "So,
\n" ); document.write( "

\n" ); document.write( "slope (m) = -7
\n" ); document.write( " point (7, 4)
\n" ); document.write( "

\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "(the y and the x always stay as y and x in this form)
\n" ); document.write( "

\n" ); document.write( "Plug in what your teacher gave you. y1 = 4 and x1 = 7 (from (7,4)), and slope (m) = -7
\n" ); document.write( "

\n" ); document.write( " y - 4 = -7(x - 7)
\n" ); document.write( "y - 4 = -7x + 49 (distributed the -7)
\n" ); document.write( "y = -7x + 53 (added 4 to both sides)
\n" ); document.write( "
\n" ); document.write( "
\n" );