Respuesta :

Answer:

y=20x-57

Step-by-step explanation:

It's really simple once you know the general formula for a linear equation.

y=mx+b, where m is the slope and b is the y intercept.

Given this information, we can choose any two points from the table to find the slope first.

The slope formula is:

[tex]m=\frac{y1-y2}{x1-x2}[/tex]

So we can pick two coordinates. Let's say (0, -57) and (1,-37)

Now we subtract -57 from -37 and subtract 0 from 1 and then divide them.

By doing that, we get:

[tex]=\frac{-57-(-37)}{0-1}\\= \frac{-20}{-1}\\ =20[/tex]

so m=20.

That tells us that the equation is y=20x+b

We need to find b, so all we need to do is find b, so we plug in one of the coordinates again, lets say (0,-57)

-57=20(0)+b

-57=b

Therefore we know the value of b and m, so we form the equation:

y=20x-57

Please give brainliest if this helped :)

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