Question

Given the equation -(1)/(3)-y=-(13)/(3), does the line passing through the point (-4, -1) satisfy this equation?

A. Yes, it satisfies the equation.
B. No, it does not satisfy the equation.

Answer 1

After substituting the point (-4, -1) into the equation -(1)/(3)-y=-(13)/(3) and simplifying, it is found that the y-value of the point does not match the y-value from the equation. Hence, the point (-4, -1) does not satisfy the given equation.

Step-by-step explanation:

To determine if the line passing through the point (-4, -1) satisfies the given equation -(1)/(3)-y=-(13)/(3), we should substitute the x and y values of the point into the equation and see if it holds true.

First, we rearrange the equation to solve for y:

-(1)/3 - y = -(13)/3

Add (1)/3 to both sides:

-y = -(13)/3 + (1)/3

-y = -(12)/3

-y = -4

Multiply both sides by -1 to solve for y:

y = 4

Next, we check if the y-coordinate of our point (-1) is equal to the calculated y-value (4):

-1 ≠ 4

Since -1 is not equal to 4, the point (-4, -1) does not satisfy the equation. Therefore, the answer is B. No, it does not satisfy the equation.