document.write( "Question 456052: What is the slope-intercept form of the equations of the line through the given point with the given slope:\r
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document.write( "(-3,-1), slope=2\r
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document.write( "(-2,2), slope= - 7/2 \n" );
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Algebra.Com's Answer #313061 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! The slope-intercept form is: y = mx +b \n" ); document.write( "m = 2 is given \n" ); document.write( "So, an infinite number of lines are possible. \n" ); document.write( "But the line you want goes through the point (-3,-1). \n" ); document.write( ". \n" ); document.write( "Slope = change in y (\"rise\") divided by the change in x (\"run\"). \n" ); document.write( "So, a slope of 2 means for every change of 1 in x, there is a change of 2 in y. \n" ); document.write( "This means the line goes up steeply from left to right. \n" ); document.write( "x = -3 +1 = -2 \n" ); document.write( "y = -1 +2 = +1 \n" ); document.write( ". \n" ); document.write( "x = -3 +3 = 0 \n" ); document.write( "y = -1 +6 = 5 \n" ); document.write( ". \n" ); document.write( "y = 2x + 5 \n" ); document.write( ". \n" ); document.write( "You can check the graph: \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Or you can test the values you were given: \n" ); document.write( "y = 2x + 5 \n" ); document.write( "2(-3) +5 = -6 +6 = -1 \n" ); document.write( "That's (-3,-1). \n" ); document.write( ". \n" ); document.write( "Do the second problem the same way. \n" ); document.write( " |