Question

Given the linear equation 3x +4y-8=0 write another linear equation in two variables such that the geometrical representation of the pairs so formed is parallel lines

Answer 1

Answer:

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Answer 2

Another linear equation can be  3x-4y-20=0

Step-by-step Explanation:

Given: 3x +4y-8=0

To be found: another linear equation to be parallel to given equation

Formula used: for parallel lines, we know:

parallel lines have equal slopes. Equation of line is-

y= mx+c, where m is the slope

                          c is the intercept

Given equation is 3x +4y-8=0

⇒ y=$\frac{-3}{4} x + \frac{8}{4}$

⇒y= $\frac{-3}{4} x + 2$

∴ m = $\frac{-3}{4}$ and let us assume intercept c = 5

∴ y= $\frac{-3}{4} x + 5$

⇒4y= -3x + 20

⇒ 3x-4y-20=0

So, the new equation is  3x-4y-20=0