Question

what is the equation of the graphed line written in standard form?x-4y=4. x+4y=4. y=1/4x-1. y=-1/4x-1​

Answer 1

y=1/4x-1

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.

Answer 2

`x-4y=4`

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

`m=(1)/(4)`

Therefore the equation is:

`y=(1)/(4)x-1`

Multiply through by 4 to get;

`4y=x-4`

The equation in standard form is;

`x-4y=4`