The equation of a line in the slope intercept form is expressed as
y = mx + b
where
m represents slope
b represents y intercept.
We know that slope, m = 1/5
We would determine the y intercept by substituting m = 1/5, x = - 5 and y = - 6 into the slope intercept equation. It becomes
- 6 = 1/5 * - 5 + b
- 6 = - 1 + b
b = - 6 + 1
b = - 5
We would substitute m = 1/5, b = - 5 into the slope intercept equation. thus, the equation of the line is
y = x/5 - 5