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= 4x + 1
Comparing with the slope intercept form, slope = 4
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (-2, - 5) is 4
To determine the intercept, we would substitute m = 4, x = - 2 and y = -5 into y = mx + c. It becomes
- 5 = 4 × - 2 + c = - 8 + c
c = - 5 + 8 = 3
The equation becomes
y = 4x + 3
