Since the relationship shown in the table is linear, we can use the two data points to find the slope of the line.
slope (m) = (change in y)/(change in x)
= (58-38)/(6-4)
= 20/2
= 10
Now we can use the slope and one of the data points to find the y-intercept (b) using the slope-intercept form of the equation for a line:
y = mx + b
We can use (4, 38) as our data point:
38 = 10(4) + b
b = -2
So the equation of the linear function that models the relationship shown in the table is:
y = 10x - 2
Therefore, the correct answer is 1. y = 10x − 2.
x, y
4, 38
6, 58
Write the equation of the linear function that models the relationship shown in the table.
1. y = 10x − 2
2. y = x + 34
3. y = 10 x + 2
4. y = − 10x + 78
1 answer