Use the table to answer the question.
x y
4 38
6 58
Write the equation of the linear function that models the relationship shown in the table.
(1 point)
Responses
y=10x−2
y equals 10 x minus 2
y=−10x+78
y equals negative 10 x plus 78
y=10x+2
y equals 10 x plus 2
y=x+34
y equals x plus 34
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To find the equation of the linear function that models the relationship shown in the table, we need to determine the slope and y-intercept.
To do this, we can choose two points from the table, (4, 38) and (6, 58), and calculate the slope using the formula:
slope = (change in y) / (change in x)
slope = (58 - 38) / (6 - 4)
slope = 20 / 2
slope = 10
We can use the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept.
Using the point (4, 38), we can plug in the values into the equation and solve for b:
38 = 10(4) + b
38 = 40 + b
b = 38 - 40
b = -2
Therefore, the equation of the linear function that models the relationship shown in the table is:
y = 10x - 2