What is the slope of the line that passes through the pair of points?
(-5/3, -1)and (-2, 9/2)
A.2/33
B.-2/33
C.-33/2
D.33/2
I think it is D?
(9/2 + 1)/(-2 + 5/3) = 11/2 / -1/3 = -33/2
looks like you lost a - sign somewhere.
The 2nd point is above and to the left of the 1st, so the line has a negative slope.
you are right - I understand where I lost it now...thanks
To find the slope of a line passing through two points, you can use the formula:
m = (y2 - y1) / (x2 - x1)
Let's plug in the coordinates of the given points:
Point 1: (-5/3, -1)
Point 2: (-2, 9/2)
Using the formula:
m = (9/2 - (-1)) / (-2 - (-5/3))
= (9/2 + 1) / (-2 + 5/3)
= (9/2 + 2/2) / (-6/3 + 5/3)
= (11/2) / (-1/3)
= (11/2) * (-3/1)
= -33/2
So, the slope of the line passing through the given points is C. -33/2.
To find the slope of a line passing through two points, we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Let's substitute the coordinates of the given points into the formula:
(x1, y1) = (-5/3, -1)
(x2, y2) = (-2, 9/2)
m = (9/2 - (-1)) / (-2 - (-5/3))
= (9/2 + 2/3) / (-2 + 5/3)
= (27/6 + 4/3) / (-6/3 + 5/3)
= (27/6 + 8/6) / (-1/3)
= (35/6) / (-1/3)
= (35/6) * (-3/1)
= -105/6
= -35/2
= -17.5
The slope of the line passing through the points (-5/3, -1) and (-2, 9/2) is -17.5.
None of the provided choices match the calculated slope, so none of the options A, B, C, or D are correct.