# SOLUTION: write the equations for 2 lines that intersect at the point (1,0). explain how you know the answer is correct.

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 Algebra: Graphs, graphing equations and inequalities Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Graphs Question 27448: write the equations for 2 lines that intersect at the point (1,0). explain how you know the answer is correct.Answer by AnlytcPhil(1277)   (Show Source): You can put this solution on YOUR website!the equations for 2 lines that intersect at the point (1,0). Equations of any line can all be written Ax + By = C Since you know it goes through the point (1, 0), replace x by 1 and y by 0: A(1) + B(0) = C A = C Now choose any number in the world at random for A and C to equal, and any number in the world at random for B. I will arbitrarily choose 3 for both A and C and -2 for B. So Ax + By = C becomes 3x - 2y = 3 Now do it again, but don't make the same choices as before. This time, I will arbitrarily choose 4 for both A and C and 7 for B. So Ax + By = C becomes 4x + 7y = 4 explain how you know the answer is correct. I will check the system 3x - 2y = 3 4x + 7y = 4 to see if (x, y) = (1, 0) is the solution: 3(1) - 2(0) = 3 4(1) + 7(0) = 4 So I get 3 = 3 in the first and 4 = 4 in the second, so it is correct. Edwin AnlytcPhil@aol.com