Question

The equation of the line that passes through the point (1, 2) and is parallel to the line 3x + 4y = 12.

Answer 1

Explanation:

We first turn 3x+4y=12 into standard form:

4y=-3x+12

y=-3/4x+3

By knowing the 2nd line is parallel to the first, the slopes are the same:

y=-3/4x+b

Plugging in (5,4) into the equation:

4=-15/4+b

b=1/4

Final equation=y=-3/4+1/4.