Answer:
Step-by-step explanation:
The equation of a straight line is expressed in the slope intercept form as
y = mx + c
Where m represents the slope
c represents the intercept.
The given equation is
4x−5y = 10
5y = 4x - 10
y = 4x/5 - 2
Comparing with the slope intercept form,
The slope,m = 4/5
The line that is parallel to the given line passes through the point (- 5,- 1)
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line that is parallel to the given line is 4/5
To determine the intercept c, we will substitute m = 4/5, x = - 1 and x = - 5 into the slope intercept equation. It becomes
- 5 = 4/5 × - 1 + c
- 5 = - 4/5 + c
c = - 5 + 4/5 = (- 25 + 4)/5 = - 21/5
The equation becomes
y = 4x/5 - 21/5
