In the xy-plane, lines a and b intersect at point (5,-2), and lines b and c intersect at point (-3,3). What is the slope of line b? Express your answer as a common fraction
You have two points on line b. So the slope is just
(3+2)/(-3-5)
The slope is (3+2)/(-3-5) for line b
To find the slope of line b, we need to determine the coordinates of two points on line b. We already know that line b intersects line a at (5, -2) and line c at (-3, 3).
Using the two points (5, -2) and (-3, 3), we can calculate the slope of line b using the formula:
slope = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of the two points on line b.
Let's calculate the slope:
slope = (3 - (-2)) / (-3 - 5)
= (3 + 2) / (-3 - 5)
= 5 / (-8)
= -5/8.
Therefore, the slope of line b is -5/8.