Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m represents the slope of the line.
The equation of the given line is
2y = x - 10
Dividing both sides of the equation by 2, it becomes
y = x/2 - 5
Comparing with the slope intercept form, slope = 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (2,1) is 1/2
To determine the y intercept, we would substitute m = 1/2, x = 2 and y = 1 into y = mx + c. It becomes
1 = 1/2 × 2 + c
1 = 1 + c
c = 1 - 1 = 0
The equation becomes
y = x/2
