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 p is
y = x - 1
Comparing with the slope intercept form, slope = 1
If two lines are parallel, it means that they have the same slope. Therefore, the slope of line q passing through (- 2, 8) is 1
To determine the y intercept, we would substitute m = 1, x = - 2 and
y = 8 into y = mx + c. It becomes
8 = 1 × - 2 + c
8 = - 2 + c
c = 8 + 2 = 10
The equation becomes
y = x + 10
