document.write( "Question 268969: Right the slope – intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation (5,-1),y=-3/4X+1 \n" ); document.write( "

Algebra.Com's Answer #197076 by rogerg0834(1) $\"\"$ $\"About$

You can put this solution on YOUR website!
Since the lines are parallel then that means that their slopes are equal, -3/4. The slope-intercept equation is y = mx + b and we know the slope already and we are given a point on the line (5, -1). So, simply plug in the numbers and find b.
\n" ); document.write( "-1 = -3/4 (5) + b\r
\n" ); document.write( "\n" ); document.write( "-1 = -15/4 + b\r
\n" ); document.write( "\n" ); document.write( "-1 / -15/4 = -15/4 / -15/4 + b\r
\n" ); document.write( "\n" ); document.write( "-1 / -15/4 = b\r
\n" ); document.write( "\n" ); document.write( "-1 * -4/15 = b\r
\n" ); document.write( "\n" ); document.write( "4/15 = b\r
\n" ); document.write( "\n" ); document.write( "so the slope - intercept of an equation with a slope of -3/4 and passes thru point (5, -1) is y = -3/4x + 4/15 \n" ); document.write( "

\n" );