Representing a Pair of Linear Equations in Two Variables Graphically
Question 2 i ...
Question
Question 2 (i) On comparing the ratios a1a2 , b1b2 and c1c2 , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident. 5x - 4y + 8 = 0 7x + 6y - 9 = 0
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Solution
5x - 4y + 8 = 0 7x + 6y - 9 = 0 Comparing these equation with, a1x+b1y+c1=0 a2x+b2y+c2=0 We get, a1=5,b1=−4,andc1=8 a2=7,b2=6andc2=−9 a1a2=57, b1b2=−46 and c1c2=8−9 Hence, a1a2≠b1b2 Therefore, both are intersecting lines at one point.