A line passes through the points K(2a,3b) and R(a,-b). What is the slope?
a.)4b/a
b.)4ab
c.)4a/b
(change in y)/(change in x)
=(3b-(-b))/(2a-a)
= ?
so would the correct answer be
a.) 4b/a
Yes
Thank you both:)
To find the slope of a line passing through two points, we can use the formula:
slope = (change in y)/(change in x)
In this case, the points given are K(2a, 3b) and R(a, -b). To find the change in y, subtract the y-coordinates of the two points:
change in y = -b - 3b = -4b
To find the change in x, subtract the x-coordinates of the two points:
change in x = a - 2a = -a
Now, substitute these values into the slope formula:
slope = (-4b)/(-a) = 4b/a
Therefore, the slope of the line passing through the points K(2a, 3b) and R(a, -b) is 4b/a.
Therefore, the correct answer is a.) 4b/a.