What is the slope-intercept form of the function that contains the points (3, 1) and (2, 9)?

Solution:

The slope intercept form is as given below:

y = mx + b

Where m = slope of the straight line and b = intercept

From the points given i.e. (3,1) and (2, 9) the slope m of the function is calculated as below:

m = (y₂ - y₁)/(x₂ - x₁) = (9 - 1)/(2 - 3) = -8

The equation of the function therefore is

(y - y₁) = m(x - x₁)

(y - 1) = -8(x - 3)

y - 1 = -8x + 3

y = -8x + 3

The slope and intercept form of the function.

What is the slope-intercept form of the function that contains the points (3, 1) and (2, 9)?

Summary:

The slope and intercept form of the function containing points (3,1) and (2, 9) is y = -8x + 3