Respuesta :

slope intercept form

y =mx+b

y =-1/4 x -5

Answer:

The equation of the line is [tex]y = \frac{-1}{4}x -5[/tex]

Step-by-step explanation:

Consider the provided information.

The slope intercept form is y = mx + c

where m is the slope of the line and c is the y intercept.

Now consider the provided information, it is given that the slope of the line is -1/4 and y intercept is (0,-5).

So substitute m = -1/4 and c = -5 in the slope intercept form.

[tex]y = \frac{-1}{4}x + (-5)[/tex]

[tex]y = \frac{-1}{4}x -5[/tex]

Hence, the equation of the line is [tex]y = \frac{-1}{4}x -5[/tex]

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