Write the equation of the line that passes through the points (3,0) and (8,−2). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line

Answer 1

To find the equation of the line that passes through the points (3,0) and (8,-2), we can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

where (x₁, y₁) is a point on the line and m is the slope.

First, let's find the slope (m) using the formula:

m = (y₂ - y₁)/(x₂ - x₁)

Substituting the coordinates of the given points:

m = (-2 - 0)/(8 - 3)
= -2/5

Now, we can choose any point from the given points to substitute into the point-slope form. Let's choose (3,0) to make it easier:

y - 0 = -2/5(x - 3)

Simplifying:

y = -2/5(x - 3)

Thus, the equation of the line passing through the points (3,0) and (8,-2) in point-slope form is y = -2/5(x - 3).