Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

complete the equation describing how x and y are related. |x|y| |-1|4| …

Question

complete the equation describing how x and y are related.

xy
-14
02
10
2-2
3-4
4-6

y = -2x+?
enter the number that belongs in the green box.

Explanation:

Step1: Select a data - point

We can use the point $(x = 0,y = 2)$ from the table.

Step2: Substitute into the equation

Substitute $x = 0$ and $y = 2$ into $y=-2x + b$. We get $2=-2\times0 + b$.

Step3: Solve for $b$

Since $-2\times0 = 0$, the equation simplifies to $b = 2$.

Answer:

$2$