Answer
The error is in the first step. The correct equation of the line is $y=-\frac{3}{5}x+4$.
Work Step by Step
The given points are
$(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(5,1)$.
Use slope formula.
$\Rightarrow m=\frac{y_2−y_1}{x_2−x_1}$
Substitute all the values.
$\Rightarrow m=\frac{1−4}{5−0}$
Simplify.
$\Rightarrow m=-\frac{3}{5}$
The $y-$ intercept is $b=4$.
The slope-intercept form of the line is
$\Rightarrow y=mx+b$
Substitute both values.
$\Rightarrow y=-\frac{3}{5}x+4$
Hence, the error is in the first step. The correct equation of the line is $y=-\frac{3}{5}x+4$.
