Answer:
y = 2x - 8
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, AB is
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 (3, -2) is 2
To determine the intercept, we would substitute m = 2, x = 3 and y = -2 into y = mx + c. It becomes
- 2 = 2×3 + c = 6 + c
c = - 2 - 6 = - 8
The equation becomes
y = 2x - 8