Answer:
y = -29.6 x 10³
Step-by-step explanation:
First of all, we know that the formula to calculate the slope between two points is equal is given by;
m = {y2-y1}/{x2-x1}
Now, we have the coordinates as;
(−200, 2.04 × 10⁴) and (100, −9.6 × 10³)
Thus; rearranging the first one, we now have;
(−200, 20.4 × 10³) and (100, −9.6 × 10³)
Thus;
m = {(-9.6 x 10³) - (20.4 x 10³)}/{100 - (-200)}
m = (-30 x 10³)/300
m = -100
Now, let's find the equation of the line into point slope form;
y - y1 = m(x - x1)
We have (x1, y1) = (−200, 2.04 × 10⁴)
Thus;
y - (2.04 x 10⁴) = -100(x - (-200))
y - (2.04 x 10⁴) = -100(x + 200)
We want to find the value of y when x=300
Thus;
y - (2.04 x 10⁴) = -100(300 + 200)
y - 20400 = -100(500)
y - 20400 = -50000
y = 20400 - 50000
y = -29,600 = -29.6 x 10³
