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.