Respuesta :

sylvain96

Answer:

y=1/4x-1

Step-by-step explanation:

First step to determine the equation of a line is is to determine its slope.

We see the line passes through points (4,0) and (0,-1), that means its slope is:

S = (0 - -1) / (4 - 0) = 1/4

Since there's only one choice with a slope of 1/4, the choice is easy :-)

But we can also verify the equation by checking if it validates the given points. So, what's the value of y if x = 0?

y = (1/4)0 - 1 = 0 - 1 = -1  Validated.

And when x = 4?

y = (1/4)4 - 1 = 1 - 1 = 0  Validated too.

kudzordzifrancis

Answer:

[tex]x-4y=4[/tex]

Step-by-step explanation:

The given function passes through: (4,0) and (0,-1).

The equation is of the form;

y=mx+b

where b=-1 is the y-intercept.

The equation now becomes:

y=mx-1

We substitute the point (4,0) into the function to obtain;

0=m(4)-1

0+1=4m

1=4m

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

Therefore the equation is:

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

Multiply through by 4 to get;

[tex]4y=x-4[/tex]

The equation in standard form is;

[tex]x-4y=4[/tex]

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