Answer:
The y-intercept (b) of the parallel line is -6.
Explanation:
PART A: First understand that a parallel line will always share the same slope. So let us calculate the slope of line j and whatever that it will be will also be the slope of the parallel line.
slope intercept form: y = mx + b
m = slope
m = y2 - y1 / x2 - x1
m = -6 -1 / -3 - 4
m = -7 /-7
m = 1 (slope of line j and parallel line)
PART B: Now that we have the slope of the parallel line we can substitute the point (7, 1) into it's equation to find it's y-intercept (b).
y = 1x + b
1 = 1(7) + b
1 = 7 + b
