Question

Write the equation of the line that passes through the points (2, -6) and (8, -2).

Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answer 1

Answer:

y + 6 = 2/3 (x - 2)

Explanation:

Step 1. Find the slope

m = slope

m = change in y/change in x

m = (y2 - y1)/(x2 - x1)

points: (2, -6) & (8, -2)

m = (-2 - -6)/(8 - 2)

m = 4/6

m = 2/3

Step 2. Create the point-slope equation by using the slope and the first point

Point-slope formula: y - y1 = m(x - x1)
Where m = slope and (x1, y1) = first point

Point-slope form: y + 6 = 2/3 (x - 2)