Answer:
2x - y + 2 = 0 is the equation
y = 2x + 2 is the equation in slope-intercept form
Explanation:
slope = (y₂ - y₁) / (x₂ - x₁)
slope = (6 - 8) / (2 - 3)
slope = -2 / -1
slope (m) = 2
equation through the points (3,8) and (2,6):
(y - y₁) / (y₂ - y₁) = (x - x₁) / (x₂ - x₁)
(y - 8) / (6 - 8) = (x - 3) / (2 - 3)
(y - 8) / -2 = (x - 3) / -1
-y + 8 = -2x + 6
2x - y + 2 = 0
slope-intercept form,
y = mx + c
y = 2x + 2