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 plus 2 y=10x−2 y equals 10 x minus 2 y=x+34 y equals x plus 34 y=−10x+78
To find the equation of the linear function that models the relationship in the table, we can first find the slope of the line using two points (4, 38) and (6, 58):
slope (m) = (y2 - y1) / (x2 - x1)
m = (58 - 38) / (6 - 4)
m = 20 / 2
m = 10
Now that we have the slope (10), we can use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
Using the point (4, 38):
y - 38 = 10(x - 4)
y - 38 = 10x - 40
y = 10x - 40 + 38
y = 10x - 2
Therefore, the linear function that models the relationship in the table is y = 10x - 2.