Provide the answer and an explanation why that is the answer.

Step One

Solve the given equation for y.

x + 5y = 3       Subtract x from both sides.

5y = 3 - x

5y = -x + 3      Divide by 5

y = -x/5 + 3/5

Step Two

Find the slope of the new line.

The slope of the new line is the same as the slope in the given line from step one.

m = - 1/5

So far what you have is y = -(1/5) x + b

Now use the point (-1 ,5)

Step Three

Find the y intercept of the new line.

y = (-1/5)x + b

5 = -1/5 * -1  + b

5 = 1/5 + b            subtract b from both sides

5 - 1/5 = b

4 4/5 = b

b = 4.8

Step Four

State the equation of the line.

y = (-1/5) x + 4.8   That makes the answer C.

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step-by-step explanation: