x y
6 16
15 43
write the equation of the linear function that models the relationships shown in the table. enter your answer in y=mx+b form
5 answers
y = 3x + 1
wrong
Apologies for the mistake. Let's find the correct equation:
To find the equation of the linear function, we first need to find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (6, 16) and (15, 43):
m = (43 - 16) / (15 - 6)
m = 27 / 9
m = 3
Now that we have the slope, we can find the y-intercept (b) by substituting one of the points into the equation y = mx + b. Let's use point (6, 16):
16 = 3(6) + b
16 = 18 + b
b = -2
Therefore, the equation of the linear function that models the given data is:
y = 3x - 2
To find the equation of the linear function, we first need to find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (6, 16) and (15, 43):
m = (43 - 16) / (15 - 6)
m = 27 / 9
m = 3
Now that we have the slope, we can find the y-intercept (b) by substituting one of the points into the equation y = mx + b. Let's use point (6, 16):
16 = 3(6) + b
16 = 18 + b
b = -2
Therefore, the equation of the linear function that models the given data is:
y = 3x - 2
redo it again i got a diffrent answer
I apologize for the mistake in my calculations earlier. Let's find the correct equation:
To find the equation of the linear function, we first need to find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (6, 16) and (15, 43):
m = (43 - 16) / (15 - 6)
m = 27 / 9
m = 3
Now that we have the slope, we can find the y-intercept (b) by substituting one of the points into the equation y = mx + b. Let's use point (6, 16):
16 = 3(6) + b
16 = 18 + b
b = -2
Therefore, the equation of the linear function that models the given data is:
y = 3x - 2
To find the equation of the linear function, we first need to find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (6, 16) and (15, 43):
m = (43 - 16) / (15 - 6)
m = 27 / 9
m = 3
Now that we have the slope, we can find the y-intercept (b) by substituting one of the points into the equation y = mx + b. Let's use point (6, 16):
16 = 3(6) + b
16 = 18 + b
b = -2
Therefore, the equation of the linear function that models the given data is:
y = 3x - 2