Will mark ! write the standard form of the line that is parallel to 2x + 3y = 4 and passes through the point (1, -4). include your work in your final answer. type your answer in the box provided or use the upload option to submit your solution. explain.

First, simplify the equation to slope intercept form to find the slope;

2x+3y=4
3y=4-2x
y=(-2x+4)/3

The slopes of parallel lines are the same, therefore, the slope of the second line would also be -2/3

Write out the slope intercept form with the information we know and input the coordinates of the point;

y=mx+c
-4=(-2/3)(1)+c
-4+(2/3)=c
(-12/3)+(2/3)=c
-10/3=c

Therefore, the final equation is y=-2/3x-10/3

Hope I helped :)

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