To find the x-intercept and find the y-intercept, we need to write the equation given as the line equation of the form:
y = mx + b, where m is the line's slope and b is the y-intercept, so lets use the equation given and give it that form:
x + 7y = 35
7y = 35 - x
y = (-1/7)x + 5
therefore the y-intercept is 5, that means that when x = 0, y = 5
Now lets find out what happens when y = 0 with x, and that will be the x-intercept:
y = (-1/7)x + 5
0 = (-1/7)x + 5
(1/7)x = 5
x = 7*5
x = 35
therefore the x intercept is 35, which means that when y = 0, x = 35
