Answer:
a = -2.6 b = -20.8
Explanation:
You first want to find the slope of Line A, and you are given the points (-3,2) and (-23,54). Since Line A and Line B are parallel, their slopes are the same. Using the equation m = (y₂-y₁)/(x₂-x₁) you will plug in those points, making a new equation m = (54-2)/(-23-(-3)). This then simplifies to 52/-20, which becomes -2.6.
Second of all, you want to find the y-intercept. To do that, you will use the equation y = mx+b. You can plug in -2.6 for m, and since the question tells you that Line B passes through the point (-8,0), you can plug in those numbers for x and y. This would make the equation 0 = -2.6(-8) + b, which becomes 0 = 20.8 + b. Since you want to isolate b, you bring 20.8 to the left side by subtracting, leaving you with the answer -20.8.