Get detailed and accurate responses to your questions on IDNLearn.com. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.
Answer with step by step explanation
To find the equation of the line from the given equation, you have to make y as the subject in the equation.
Let us find now.
x + 3y = -4
3y = -4 - x
3y = -x - 4
Divide the whole equation by 3.
y = -x/3 - 4/3
Therefore, the equation of the line is:
y = -x/3 - 4/3
And now we have to find the slope and the y - intercept of the line.
That is, we have to find the m & c of y = m x + c.
Here,
m ⇒ slope
c ⇒ y - intercept
So, to find it we have to find the values which were replaced with m & c.
Let us find now.
y = m x + c
y = -x/3 - 4/3
Now it is clear that, -1/3 & -4/3 are replaced with m & c respectively.
Therefore,
slope ⇒ -1/3
y - intercept ⇒ -4/3