1 answer
(click or scroll down)
We can use the point-slope formula to determine the equation of the line with slope -5/3 passing through the given points.
Let's use the points (12, 13) and (17, 10) as an example.
The point-slope formula is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Using the first point (12, 13), we have:
y - 13 = (-5/3)(x - 12)
Simplifying, we get:
y - 13 = (-5/3)x + 20
Let's check if the second point (17, 10) satisfies this equation:
10 - 13 = (-5/3)(17 - 12)
-3 = (-5/3)(5)
-3 = -25/3
Since the equation holds true for the second point as well, the line with slope -5/3 passes through the points (12, 13) and (17, 10).
Therefore, the correct answer is:
(12, 13), (17, 10)