To find the equation of the linear function, we first need to find the slope (m) and the y-intercept (b).
Step 1: Find the slope (m)
Use the formula for slope:
m = (y2 - y1) / (x2 - x1)
m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5
Step 2: Find the y-intercept (b)
We can choose any point from the table to find the y-intercept. Let's use the point (11, 58).
Using the formula y = mx + b and substituting the values:
58 = 5(11) + b
58 = 55 + b
b = 3
Step 3: Write the equation in y = mx + b form
Therefore, the equation of the linear function that models the relationship shown in the table is:
y = 5x + 3
x | y
11| 58
20| 103
Write the equation of the linear function that models the relationship shown in the table. Enter your answer in y=mx+b form.
1 answer
11 answers