Answer:
y + 5 = (3/2)(x - 3)
Explanation:
To write an equation in point-slope form, we can use the formula:
y - y₁ = m(x - x₁)
where (x₁, y₁) is the given point and m is the slope of the line.
Given the two points (3, -5) and (1, -8), we can calculate the slope (m) using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Substituting the values, we get:
m = (-8 - (-5)) / (1 - 3)
= (-8 + 5) / (1 - 3)
= -3 / -2
= 3/2
Now, let's substitute the slope (m) and one of the given points (3, -5) into the point-slope form equation:
y - (-5) = (3/2)(x - 3)
Simplifying the equation, we get:
y + 5 = (3/2)(x - 3)
This is the equation in point-slope form for the line passing through the points (3, -5) and (1, -8).