Answer :

But where is the graph and the question?
x intercept is where the line intercepts the x axis (meaning y should be 0)
(-6,0) is your x intercept

y intercept is where the line intercepts the y axis (meaning x should be 0)
(0,6) is your y intercept


To find slope of the line, follow the expression:
y₂-y₁
------
x₂-x₁

let (0,6) be (x₂,y₂) and (-6,0) be (x₁,y₁)

plug in the numbers to corresponding places
6 - 0
------
0 - (-6)

6 - 0 = 6
0 - (-6) = 0 + 6 = 6

6/6 = 1

slope of the line is 6/6


The equation of a line in standard form is:

Ax + By = C


hope this helps