Write an equation in point-slope form of the line through each pair of points:

Question

(9,5) and (8,2)

Answer 1

To find the equation in point-slope form of the line passing through the points (9,5) and (8,2), we need to find the slope of the line. The slope is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the values of the points:

m = (2 - 5) / (8 - 9)
m = (-3) / (-1)
m = 3

Now, we can use the point-slope form of the line, which is given by:

(y - y₁) = m(x - x₁)

Substituting the values of one of the points (let's use the point (9,5)):

(y - 5) = 3(x - 9)

This equation is in point-slope form and represents the line passing through the points (9,5) and (8,2).