X
-2
-1
0
1
2
Y
4
3.5
3
2.5
2 what’s the slope and y I tree pet and write and equation
To find the slope of the given points (X: -2, -1, 0, 1, 2 and Y: 4, 3.5, 3, 2.5, 2), we can use the formula:
slope = (change in y) / (change in x)
Let's calculate the change in y and change in x:
change in y = (3.5 - 4) = -0.5
change in x = (-1 - (-2)) = 1
Now, we can find the slope:
slope = (-0.5) / 1 = -0.5
The slope of the given points is -0.5.
To write the equation of the line, we can use the point-slope form:
(y - y1) = m(x - x1)
Using the point (X: 2, Y: 2), we get:
(y - 2) = -0.5(x - 2)
Expanding and simplifying:
y - 2 = -0.5x + 1
Adding 2 to both sides:
y = -0.5x + 3
Therefore, the equation of the line is y = -0.5x + 3.