Writing an equation thats parallel to another equation while containing specific points.

Question

Write the equation of the line containing the point (1, 2) and parallel to the line 2x + 4y = 1

Answer 1

Determine the slope of the lines

2x + 4y = 1

4y = -2x + 1

y = (-1/2)x + 1/4, the slope is -1/2

Use point-slope form

(y - 2) / (x - 1) = -1/2