kseniyayakimov
contestada

Will mark brainliest!!!
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. Please explain.

Respuesta :

kritter1
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 :)