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+78
y=x+34
y=10x+2
y=10x−2
To find the equation of the linear function that models the relationship shown in the table, we first need to determine the slope (m) and the y-intercept (b).
Using the points (4, 38) and (6, 58) from the table:
m = (58 - 38)/(6 - 4) = 20/2 = 10
Now we can substitute the slope (m = 10) and one of the points into the point-slope formula: y - y1 = m(x - x1).
Let's use point (4, 38):
y - 38 = 10(x - 4)
y - 38 = 10x - 40
y = 10x - 40 + 38
y = 10x - 2
Therefore, the equation of the linear function that models the relationship in the table is y = 10x - 2. So the correct answer is:
y = 10x - 2