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