document.write( "Question 253783: Write the linear equation satisfying each of the following conditions: parallel to the line 2x - 3y = 6 and has a y-intercept of 7. [Write the equation in the form ax + by + c = 0]. \n" ); document.write( "
Algebra.Com's Answer #186084 by palanisamy(496)![]() ![]() ![]() You can put this solution on YOUR website! The given equation of the line is 2x-3y = 6 \n" ); document.write( "The equation of a line parallel to this line is \n" ); document.write( " 2x-3y+c = 0 ....(1) where c is a constant. \n" ); document.write( "Given, the y-intercept is 7. \n" ); document.write( "That is the point (0,7) lies on the line (1). \n" ); document.write( "Put x\0 and y=7 in (1) \n" ); document.write( "We get, 2*0-3*7+c = 0 \n" ); document.write( " -21+c=0 \n" ); document.write( " c=21 \n" ); document.write( "Therefore (1)=>, the equation of the required line is 2x-3y+21 = 0 \n" ); document.write( " |