Respuesta :

Answer:

y= 1x-5

Step-by-step explanation:

This grpah shows a linear equation, for which the formula is y=mx+b. M is the slope, and b is the y-intercept, which means the point on the y-axis when x is zero.

So far= y=_x-5

Now to find the slope, you can take 2 points and use the slope formula, which is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

I used the points (1,-4) and (0, -5)

(1,-4)

[tex]x_{2} , y_{2}[/tex]

(0,-5)

[tex]x_{1} ,y_{1}[/tex]

Plug into formula

[tex]\frac{-4-(-5)}{1-0}[/tex]

negative minus negative becomes a positive

[tex]\frac{-4+5}{1}[/tex]

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

The slope is 1, so the equation of the graph is

y= 1x-5

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