Find the equation of a straight line parallel to the line 2x - y = 5 and having intercept of 5
A.
2x + y = 5
B.
2x + y = -5
C.
2x - y = -5
D.
2x - y = 5
Correct Answer: 2x - y = -5
Explanation
Condition for Parallelism means that their gradient value is same
line 2x - y = 5 is rearranged
As y = 2x - 5 from y = mx + c
: line 2x - y = 5 has the gradient of 2
A parallel line with gradient of 2 and intercept of 5
→ 2x - y = -5
Rearranged as y = 2x + 5
Condition for Parallelism means that their gradient value is same
line 2x - y = 5 is rearranged
As y = 2x - 5 from y = mx + c
: line 2x - y = 5 has the gradient of 2
A parallel line with gradient of 2 and intercept of 5
→ 2x - y = -5
Rearranged as y = 2x + 5