Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y=2x+2
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 (2,-1) is 2
To determine the intercept, we would substitute m = 2, x = 2 and y = -1 into y = mx + c. It becomes
- 1 = 2×2 + c = 4 + c
c = - 1 - 4 = - 5
The equation becomes
y = 2x - 5
