write the equation of the linear function that models the relationship shown in the table enter your answer in y=mx+b form

Answer 1

To find the equation of the linear function that models the relationship shown in the table, we first need to calculate the slope (m) and the y-intercept (b).

Let's use the first two points from the table: (1, 3) and (2, 5).

Slope (m) = (5 - 3) / (2 - 1) = 2 / 1 = 2

Now that we have the slope, we can find the y-intercept (b) by substituting the values of the slope, m, and the coordinates of one of the points (let's use (1, 3)) into the slope-intercept form equation.

y = mx + b
3 = 2(1) + b
3 = 2 + b
b = 3 - 2
b = 1

Now that we have both the slope and the y-intercept, we can write the equation of the linear function in y=mx+b form:

y = 2x + 1