Question

Write the standard form of the line that is parallel to2x+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

Answer 1

Since the line is parallel to 2x + 3y = 4, it means that it have the same gradient.
2x + 3y = 4
3y = 4 - 2x

`y = (4)/(3) - (2)/(3) x`
So the gradient =

`- (2)/(3)`
The equation of the line that is parallel to 2x + 3y = 4,

`y = - (2)/(3) x + c`

`- 4 = - (2)/(3) (1) + c`

`c \: = - (10)/(3)`

`y = - (2)/(3) x - (10)/(3)`
Ans: 3y = - 2x - 10