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yuradex [85]
3 years ago
13

3x - 4y = 19; 8x + y = 12 Are the equations parallel, perpendicular, or neither

Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Step-by-step explanation:

Hey, there!

Let's check whether the lines are parallel, perpendicular or neither.

Fistly let's check of parallel ,

Let me tell you when two st. lines are paralle, then their slope are equal.

Given equation are,

3x - 4y = 9.........(i)

8x+y = 12 ..........(ii)

Now,

From equation (i)

slope \: (m1) =   \frac{ - coffe. \: ofx}{coffe. \: of \: y}

\: slope \: (m1) =   \frac{ - 3}{ - 4}

therefore \: slope \: (m1) =  \frac{3}{4}

now, again slope from equation (ii).

slope(m2) =  \frac{ - coffe.of \: x}{coffe. \: of \: y}

slope \: (m2) =  \frac{ - 8}{1}

Therefore, the slope of equation (ii) is -8.

Since, Their slopes are not equal, they are not parallel.

Now, let's check for perpendicular,

To be perpendicular, slope (m1)× slope (m2)= -1

now,

=  \frac{3}{4} \times  - 8

= 3×-2

= -6.

So, the equations are neither parallel nor perpendicular.

<em>Hope</em><em> </em><em>it helps</em><em>.</em><em>.</em><em>.</em>

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