Which equation of the linear function models the relationship shown in the table.
x 2 4 5 8 10
y 21 17 15 9 5
3 answers
The equation of the linear function that models the relationship shown in the table is y = -2x + 25.
show work
To find the equation of the linear function that models the relationship in the table, we first need to find the slope (m) and y-intercept (b) of the linear function.
Using the points (2, 21) and (10, 5):
m = (y2 - y1) / (x2 - x1)
m = (5 - 21) / (10 - 2)
m = -16 / 8
m = -2
Now that we have the slope, we can find the y-intercept using one of the points. Let's use (2, 21) with the equation y = mx + b:
21 = -2(2) + b
21 = -4 + b
b = 21 + 4
b = 25
Therefore, the equation of the linear function that models the relationship in the table is y = -2x + 25.
Using the points (2, 21) and (10, 5):
m = (y2 - y1) / (x2 - x1)
m = (5 - 21) / (10 - 2)
m = -16 / 8
m = -2
Now that we have the slope, we can find the y-intercept using one of the points. Let's use (2, 21) with the equation y = mx + b:
21 = -2(2) + b
21 = -4 + b
b = 21 + 4
b = 25
Therefore, the equation of the linear function that models the relationship in the table is y = -2x + 25.
1 answer