Find the equation of the line 7y=-2x, passing though (8,-2). express your answer in standard form.
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The answer would be 2x + 7y = 30

Step-by-step explanation:

First we need to find the slope of the original line. We can do this by solving for y.

7y = -2x

y = -2/7x

Now we can use that slope and the point in point-slope form to get the answer. You'll need to solve for the constant.

y - y1 = m(x - x1)

y + 2 = -2/7(x - 8)

y + 2 = -2/7x + 16/7

2/7x + y + 2 = 16/7

2/7x + y = 30/7

2x + 7y = 30

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.