Answer:
standard: 5x-3y=5
slope intercept: y=5/3x-5/3
Step-by-step explanation:
so standard form is: ax+by=c
(a must be positive)
slope intercept form is: y=mx+b
(m is the slope of the line that the two points form)
first, find the slope:
(y1-y2)/(x1-x2)
(5-0)/(3-0)
slope=5/3=m
to do slope intercept, b is the y-intercept
to find that plug in one of your pairs of numbers like so,
y=mx+b
0=5/3x+b
b=-5/3
now we have slope intercept form!!
y=5/3x-5/3
to do standard form:
first, take your slope intercept form; y=5/3x-5/3
then subtract 5/3x from both sides making:
-5/3x+y=-5/3
multiply everything by -3 to get rid of the fraction and the negative like so:
5x-3y=5
and boom! standard form!
I always prefer going from slope-intercept to standard because its easier but its your choice! I hope I helped you!! Please mark brainliest!! Have a supertastic day
