Answer: Assuming that you're asking what the y-intercept is, 11.2.
Explanation:
y = mx + c,
where m is the slope and c is the y-intercept.
To calculate the slope, we use the formula:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively.
Using the coordinates of points A and B, we have:
m = (7 - 0) / (3 - 8)
m = 7 / (-5)
m = -7/5
Now we can substitute the values of the slope (m) and the coordinates of one point (A) into the slope-intercept form to solve for the y-intercept (c):
0 = (-7/5)(8) + c
0 = -56/5 + c
To isolate c, we can add 56/5 to both sides:
56/5 = c
Therefore, the y-intercept of the line passing through points A (8, 0) and B (3, 7) is (0, 56/5) or 11.2 when expressed as a decimal.