The slope intercept form of a line is written as
y = mx + c
Where
m represents slope
c represents y intercept
The x intercept is the value of x when y = 0
When y = 0 and x = - 8, then
0 = - 8 * m - 5
0 = - 8m - 5
8m = - 5
m = - 5/8
The equation in slope intercept form is
y = - 5x/8 - 5
The equation in standard form is expressed as
Ax + By = C
We would convert the slope intercept form to this form. It becomes
5x/8 + y = - 5
Where
A = 5/8
B = 1
C = - 5