Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Find the equation of the line through point (-2, -2) and parallel to 3x + 4y =12

Sagot :

wehrskaitlin

Answer:

3x + 4y = - 14

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + 4y = 12 ( subtract 3x from both sides )

4y = - 3x + 12 ( divide all terms by 4 )

y = -  x + 3 ← in slope- intercept form

with slope m = -

Parallel lines have equal slopes, thus

y = -  x + c ← is the partial equation

To find c substitute (- 2, - 2) into the partial equation

- 2 =  + c ⇒ c = -

y = -  x -  ← in slope- intercept form

Multiply through by 4 to clear the fractions

4y = - 3x - 14 ( add 3x to both sides )

3x + 4y = - 14 ← in standard form

CAN I PLEASE HAVE BRAINLIEST

313rajsukh

Answer:

3x + 4y = - 14

Step-by-step explanation:

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.