Step-by-step explanation:
the line is
20x - 17y = 15
I am not sure what your teacher uses as "standard form".
the works is split between "point-slope" and "slope-intercept" form as "standard".
I usually pick "slope-intercept" :
y = ax + b
with a being the slope and b being the y-intercept.
in any case, we can find the x-intercept without bringing the line equation to one of these forms.
because x-intercept simply means that y = 0.
and for y=0 the original equation is then
20x - 17×0 = 15
20x = 15
x = 15/20 = 3/4