Write the slope-intercept form of the equation of the line with that passes through the point (5,4) and is parallel to 3x+4y=12 .

Guest Sep 9, 2020

#1**+1 **

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

4y=-3x+12

y=-3/4x+3

By knowing the 2nd line is parrelell 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.

Ericthegg123 Sep 9, 2020