Video: Determining Whether Two Lines are Parallel

Rhodri Jones

Two lines A and B have slopes of 4/5 and 9/10 respectively. Are the two lines parallel?

00:57

Video Transcript

Two lines 𝐴 and 𝐵 have slopes of four-fifths and-nine 10ths respectively. Are the two lines parallel?

Parallel lines have the same slope or gradient as the two lines will never meet. In this case, we need to work out whether 𝐴 and 𝐵 have the same slope.

The slope of line 𝐴 is four-fifths. And the slope of line 𝐵 was nine-10ths. In order to compare these two fractions, we need to make the denominators or bottom numbers the same.

Multiplying the top and the bottom of the fraction four-fifths by two gives us eight- 10ths. This means that four-fifths is equivalent to eight-10ths.

As eight-10ths, the slope of 𝐴, and nine-10ths, the slope of 𝐵, are not equal to each other, we can say that lines 𝐴 and 𝐵 are not parallel.

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