Respuesta :

Answer:

y = 1x - 3

Step-by-step explanation:

Use the slope formula to solve:

m = [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

Then plug in the numbers accordingly:

m = [tex]\frac{1 - 2 = -1}{4 - 5 = -1}[/tex]

Simplify:

m = 1

Then plug in one of the coordinates (doesn't matter which) into the equation:

Coordinate : (4, 1)

1 = 1(4) + b

1 = 4 + b

Subtract 4 from both sides:

-3 = b

Put it all together:

y = 1x - 3

Answer:

y=x-3

Step-by-step explanation:

Slope

Always remember the formula change in y over change in x:

[tex]\frac{(y1)-(y2)}{(x1)-(x2)}[/tex]

Now we add the coordinates making sure they are with the correct match

[tex]\frac{(2)-(1)}{(5)-(4)}[/tex]

Simplify:

[tex]\frac{1}{1}[/tex]=1

Y-Intercept

Since we already have the other two coordinates, 0 and 1(0 because y intercept is always (#,0) we just use the formula:

(4,1)

-1,1

(3,0)

-1,1

(2,-1)

-1,1

(1,-2)

-1,1

(0,-3)

So our formula is: y=x-3

i hope this helps u

Pls give a brainliest and a thx ;)