How do you graph 2x+6y =4 and compute xand yintercept form

the slope-intercept form is y = mx+b

2x + 6y = 4

6y = -2x + 4

y = -1/3 x + 2/3

so the y-intercept is y's value where x=0: 2/3

Similarly, the x-intercept is what x is when y=0:

0 = -1/3 x + 2/3
0 = -x + 2
x = 2