Final answer:
The distance between the points (3, -3) and (-1, 0) is 5 units. The slope between the points is -3/4.
Step-by-step explanation:
To find the value of d (distance) between the points (3, -3) and (-1, 0), we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the given coordinates:
d = sqrt((-1 - 3)^2 + (0 - (-3))^2)
d = sqrt((-4)^2 + (3)^2)
d = sqrt(16 + 9)
d = sqrt(25)
d = 5
To find the value of m (slope) between the points, we can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Substituting the given coordinates:
m = (0 - (-3)) / (-1 - 3)
m = (0 + 3) / (-4)
m = 3 / (-4)
m = -3/4