Answer: y = x/4 - 4
Explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The slope of the given line is 1/4
To determine the intercept, we would substitute m = 1/4, x = - 8 and y = - 6 into y = mx + c. It becomes
- 6 = 1/4 × - 8 + c
- 6 = - 2 + c
c = - 6 + 2 = - 4
The equation becomes
y = x/4 - 4