X: 4, 6
Y: 38, 58
Write the equation of the linear function that models the relationship shown in the table.
y=x+34
y=−10x+78
y=10x+2
y=10x−2
To find the equation of the linear function that models the relationship shown in the table, we can first calculate the slope of the line using two points from the table.
Slope = (y2 - y1) / (x2 - x1)
Slope = (58 - 38) / (6 - 4)
Slope = 20 / 2
Slope = 10
Now that we have the slope, we can use one of the given points (4, 38) to find the y-intercept (b).
y = mx + b
38 = 10(4) + b
38 = 40 + b
b = -2
Therefore, the equation of the linear function that models the relationship shown in the table is y = 10x - 2.