We have that the point-slope form is
[tex]y-y_1=m(x-x_1)[/tex]where (x1,y1) is a point that the line pass through and m is the slope
In our case we have
(4,6)=(x1,y1)
m=5
we substitute the values and we obtain the point-slope form
[tex]y-6=5(x-4)[/tex]then we need to isolate the y in order to have the slope-intercept form
[tex]\begin{gathered} y-6=5x-20 \\ y=5x-20+6 \\ y=5x-14 \end{gathered}[/tex]the slope-intercept form is y=5x-14
