Answer: y = 2x + 7
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 y intercept
m represents the slope of the line.
The equation of the given line is
2x - y + 4 = 0
y = 2x + 4
Comparing with the slope intercept form, slope = 2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 1, 5) is 2
To determine the y intercept, we would substitute m = 2, x = - 1 and y = 5 into y = mx + c. It becomes
5 = 2 × - 1 + c
5 = - 2 + c
c = 5 + 2 = 7
The equation becomes
y = 2x + 7
