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Write an equation in standard form given slope =-3/4; P(-1,2)  a. 3x+ 4y =5 b. 3x-4y=5...

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Basic Math

Write an equation in standard form given slope =-3/4; P(-1,2) 

 a. 3x+ 4y =5 b. 3x-4y=5 c. 3x-4y=-5 d. 3x+4y =-5


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Answer: (a) 3x+4y=5

Explanation: The equation of a line with slope, m, and passing through points (x1, y1) is given by

y-y1=m(x-x1) ---------------------------------------------------- (1)

In the present case, m=-(3/4) and (x1, y1)=(-1, 2). So, using eqn 1

y-2=-(3/4){x-(-1)}

y-2=-(3/4)(x+1)

4(y-2)=-3(x+1)

4y-8=-3x-3

4y+3x=-3+8

3x+4y=5

This is the required equation in standard form.
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