Question is in description.

Question

Write an equation for the line parallel to the line 1/4x + 3y = −1 through the point (0, 1). Please enter your answer in slope-intercept form or standard form.

Answer 1

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

y = -(1/12)x - 1/3, slope = -1/12

y=(-1/12)x + b

1= (-1/12)(0) + b

1 = b

equation of the line parallel through the point is

y = (-1/12)x + 1