Question 1)
x-intercept is the point where the line cross x-axis. From the graph we can see that the line crosses x-axis at x = -6.
y-intercept is the point where the line cross y-axis. From the graph we can see that the line crosses y-axis at y = 6.
So, x-intercept is (-6, 0) and y-intercept is (0, 6)
Question 2)
Using the two intercepts, we can find the slope(m) of line.
[tex]m= \frac{6-0}{0-(-6)} = \frac{6}{6}=1 [/tex]
This means, the slope of line is 1.
Question 3)
We have slope and y-intercept. So the equation of line in slope intercept form will be:
y=1(x) + 6
y = x + 6
In standard form the equation will be:
x - y = - 6