What is the equation of the graphed line written in standard form?

x – 4y = 4
x + 4y = 4
y = x – 1
y = –x – 1

we know that

The equation of the line in standard form is equal to

where

A is a positive integer

B and C are integers

Step 1

Find the slope of the graphed line

we have

The slope of the line is equal to

Substitute the values

Step 2

Find the equation of the line in slope-intercept form

the equation of the line in slope-intercept form is equal to

where

m is the slope

b is the value of the y-intercept

In this problem we have

------> see the graph

substitute

Step 3

Convert to standard form

Multiply by both sides

therefore

the answer is the option

step-by-step explanation: