Answer: y = 8x + 9
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 the y intercept.
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 S is
y = 8x - 7
Comparing with the slope intercept form, slope = 8
If two lines are parallel, it means that they have the same slope. Therefore, the slope of line T passing through (- 1, 1) is 8
To determine the intercept, we would substitute m = 8, x = - 1 and
y = 1 into y = mx + c. It becomes
1 = 8 × - 1 + c
1 = - 8 + c
c = 1 + 8 = 9
The equation becomes
y = 8x + 9
