First, we need to calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (6,16) and (15,43) from the table:
m = (43 - 16) / (15 - 6)
m = 27 / 9
m = 3
Next, we can use one of the points and the calculated slope in the point-slope form of the equation of a line and then simplify to slope-intercept form (y = mx + b):
y - y1 = m(x - x1)
(y - 16) = 3(x - 6)
y - 16 = 3x - 18
y = 3x - 18 + 16
y = 3x - 2
Therefore, the equation of the linear function that models the relationship shown in the table is:
y = 3x - 2
use the table to answer the question.
x,y
6,16
15,43
write the equation of the linear function that models the relationship shown in the table. Enter your answer in y = mx + b form.
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1 answer