x y
11 58
20 103
write the equation in y = mx + b form
To find the equation in y = mx + b form, we need to determine the slope (m) and the y-intercept (b).
First, let's find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Let's choose the first point (11, 58) as (x1, y1) and the second point (20, 103) as (x2, y2).
m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5
Now that we have the slope (m), let's calculate the y-intercept (b) using the formula:
b = y - mx
Using any of the given points, let's use (x1, y1) = (11, 58).
b = 58 - 5(11)
b = 58 - 55
b = 3
Therefore, the equation in y = mx + b form is:
y = 5x + 3