Question

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

Answer 1

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.