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san4es73 [151]
2 years ago
12

Can you guys help me solve this problem

Mathematics
1 answer:
Maslowich2 years ago
8 0

PLEASE. MARK ME AS BRAINLIEST ANSWER.

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Through :(4,2),parallel to y =-3/4x-5<br> Solve for y
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Answer:

y = \frac{ - 3}{4} x + 5

Step-by-step explanation:

The Line equation is:

y = \frac{- 3}{4} x - 5

The line equation is in the form of y = m x + c

Slop of this line is (m1) = \frac{ - 3}{4}

Let another line with slop (m2) , passes through point (4 , 2)

As per question the another line is parallel to the given line equation

So, slop of both the lines are  equal  

∴ (m2) = (m1) = \frac{ - 3}{4}

Hence equation of another line with slop \frac{ - 3}{4} and passing through points ( 4 , 2) is

y - y1 = (m2) (y - x1)

I.e  y - 2 = \frac{ - 3}{4} (x - 4)

Or,  4\times (y -2) = (- 3)\times (x - 4)

Or , 4y - 8 =  -3x + 12

Or,   4y     =  -3x + 12 + 8

Or , 4y      =  -3x + 20

∴        y = \frac{ - 3}{4} x + 5

Hence The value of y = \frac{ - 3}{4} x + 5    Answer

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Step-by-step explanation:

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