Answer
The point slope form is $y-0=\frac{4}{3}(x-1)$.
Work Step by Step
The given points are
$(x_1,y_1)=(1,0)$ and $(x_2,y_2)=(4,4)$
Slope
$\Rightarrow m =\frac{y_2-y_1}{x_2-x_1}$
Substitute all the values.
$\Rightarrow m =\frac{4-0}{4-1}$
Simplify.
$\Rightarrow m =\frac{4}{3}$
The point-slope form.
$\Rightarrow y-y_1=m(x-x_1)$
Substitute all the values.
$\Rightarrow y-0=\frac{4}{3}(x-1)$
Hence, the point slope form is $y-0=\frac{4}{3}(x-1)$.
