Question

​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 to submit your solution.

Answer 1

Answer:

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 :)

Answer 2

Answer:

5+7()79-89

Step-by-step explanation: