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
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).