Question

6x+3y=36 find the y and x intercepts

Answer 1

x-intercept is a point on the graph where y is zero.
y-intercept is a point on the graph where x is zero.


y = 0
6x+3y=36
6x+3*0=36
6x=36
x = 6
(6,0)

x = 0
6x+3y=36
6*0+3y=36
3y = 36
y = 12
(0,12)

Answer 2

To add to what @surdawi is saying,

To find a y - intercept, set x = 0 and solve.
(functions will ALWAYS just have 1)

x -intercept, set y = - 0 and solve.
(functions usually will have the number of intercepts as the highest degree in the function)