document.write( "Question 897141: m=1/7, p(-1,4)
\n" ); document.write( "instructions are to find point-slope form and the slope intercept form with the given slope which passes through the given point
\n" ); document.write( "

Algebra.Com's Answer #543999 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
point slope form is y - y1 = m(x-x1)
\n" ); document.write( "m is the slope
\n" ); document.write( "(x1,y1) is a point on the line.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "you are given that m is equal to (1/7) and (x1,y1) is equal to (-1,4)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "equation becomes:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "y-4 = (1/7)(x+1)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solve for y to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "y = (1/7)x + 29/7\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "equation is now in slope intercept form of y = mx + b
\n" ); document.write( "m is the slope
\n" ); document.write( "b is the y-intercept.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the grpah of your equation is shown below:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "in the graph, 29/7 is shown as 4.143 rounded to 3 decimal placs.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "your point of (-1,4) is shown on the graph.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the y-intercept is 29/7 which is shown as 4.143.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the slope is 1/7 which means that y increases 1 unit when x increases 7 units.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "you can see that the point (0,4.143) progresses to (7,5.143)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the x-coordinate went up 7 from 0 to 7.
\n" ); document.write( "the y-coordinate went up 1 from 4.143 to 5.143.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"$$$\"
\n" ); document.write( "
\n" ); document.write( "
\n" );