Question

Find the equation of the line that passes through (1,4) and is parallel to 3 x + y + 2 = 0 . Leave your answer in the form

Answer 1

Answer:

3x + y + 7= 0

Step-by-step explanation:

y = mx + b is the slope intercept form of writing the equation of a straight line.

Therefore lets change the first equation to this form

3x + y + 2 = 0  

y = -3x - 2

Because the lines are parallel to each other they have the same gradient or m. In this case, the gradient of the first line is

- 3x therefore the gradient for the other line is - 3x.

now using the formula, we can substitute the "m" into the equation.

y = - 3x + c

to find c, substitute the point that passed through the line into the equation too. * (x,y)

4 = -3(1) + c

4 = -3 + c

4 + 3 = c

7= c

now substitute the answer into the rest of the equation

y = - 3x + 7

now let's switch the form in order to honour the question and not lose mark...

3x + y +7 = 0