Wednesday

February 10, 2016
Posted by **emma green** on Thursday, October 8, 2009 at 1:30pm.

1. 2x+3y=5

9y+6x-1=0

answer: yes

2. 15+3x-10y=0

30x+24=10y

answer: yes

please check if this is right. thanks

- maths -
**MathMate**, Thursday, October 8, 2009 at 2:26pm1. correct.

2.

When the lines are given in standard form (Ax+By+C), they are ideal for checking parallelism and perpendicularity because if there is a vertical line, the y term will simply disappear, i.e. B=0, while in the slope-intercept form, the slope m will become infinity, which is not the case here.

For checking parallelism, try to multiply or divide to equalise one of the two coefficients, A, or B, and compare the other one. C will be different for parallel lines.

15+3x-10y=0....(1)

30x+24=10y ....(2)

becomes

3x-10y+15 = 0, and

30x-10y+24 = 0

We see that B is equal while A is different, we conclude that the two lines are not parallel.

- maths -
**emma green**, Thursday, October 8, 2009 at 2:42pmthank you! :)

- maths -
**MathMate**, Thursday, October 8, 2009 at 2:46pmYou're welcome!