Question 1107923
your x-intercept is the value of x when y is equal to 0.


start with ax + by = c
set y = 0.
equation becomes ax = c
solve for x to get x = c/a.


your y-intercept is the value of y when x is equal to 0.


start with ax + by = c
set x = 0.
equation becomes by = c.
solve for y to get y = c/b.


let's see how this works.


our equation if 5x + 10y = 30


set y = 0 and the equation becomes 5x = 30
solve for x to get x = 6.
that's your x-intercept.


set x = 0 and the equation becomes 10y = 30
solve for y to get y = 3.
that's your y-intercept.


we said that x-intercept = c/a and y-intercept = c/b.


when the equation is 5x + 10y = 30, we get a=5, b=10, c=30.


x-intercept = c/a = 30/5 = 6.
y-intercept = c/b = 30/10 =3.


it all checks out.


the graph of the equation looks like this:


<img src = "http://theo.x10hosting.com/2018/013001.jpg" alt="$$$">


the coordinate points are in (x,y) format.


the y-intercept is at the point (0,3).
that's the value of y when the value of x is equal to 0.


the x-intercept is at the point (6,0).
that's the value of x when the value of y is equal to 0.