We have that the point-slope form is
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
then we need to isolate the y in order to have the slope-intercept form
the slope-intercept form is y=5x-14