document.write( "Question 617903: can i please have help in solving this linear function. f(x) has slope-2/3 and contains the point f(-3)=0. What is f(0)? \n" ); document.write( "
Algebra.Com's Answer #388623 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! f(x) has slope-2/3 and contains the point f(-3)=0. What is f(0)? \n" ); document.write( ". \n" ); document.write( "slope intercept form of a line: \n" ); document.write( "y = mx + b \n" ); document.write( "to find 'b', plug in the given info from the problem: \n" ); document.write( "m is -2/3 \n" ); document.write( "y is 0 \n" ); document.write( "x is -3 \n" ); document.write( ". \n" ); document.write( "y = mx + b \n" ); document.write( "0 = (-2/3)(-3) + b \n" ); document.write( "0 = 2 + b \n" ); document.write( "-2 = b \n" ); document.write( ". \n" ); document.write( "So, our equation of the line is: \n" ); document.write( "f(x) = (-2/3)x - 2 \n" ); document.write( ". \n" ); document.write( "To find f(0), plug it in: \n" ); document.write( "f(x) = (-2/3)x - 2 \n" ); document.write( "f(0) = (-2/3)0 - 2 \n" ); document.write( "f(0) = -2 (notice, this is the same as 'b' (y-intercept) found earlier)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |