we know that
The equation of the line in standard form is equal to
\(Ax+By=C\)
where
A is a positive integer
B and C are integers
Step 1
Find the slope of the graphed line
we have
\(A(0,-1)\ B(4,0)\)
The slope of the line is equal to
\(m=\frac{y2-y1}{x2-x1}\)
Substitute the values
\(m=\frac{0+1}{4-0}\)
\(m=\frac{1}{4}\)
Step 2
Find the equation of the line in slope-intercept form
the equation of the line in slope-intercept form is equal to
\(y=mx+b\)
where
m is the slope
b is the value of the y-intercept
In this problem we have
\(m=\frac{1}{4}\)
\(b=-1\) ------> see the graph
substitute
\(y=\frac{1}{4}x-1\)
Step 3
Convert to standard form
Multiply by \(4\) both sides
\(4y=x-4\)
\(x-4y=4\)
therefore
the answer is the option
\(x-4y=4\)
