What is the equation of the line that passes through the point left bracket, 6, comma, minus, 8, right bracket(6,−8) and has a slope of minus, start fraction, 5, divided by, 6, end fraction−
6
5
?
The equation of a line can be expressed in the point-slope form, y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.
Given that the point (6, -8) lies on the line and the slope is -5/6, we can substitute these values into the point-slope form.
So, y - (-8) = (-5/6)(x - 6).
Simplifying this equation gives:
y + 8 = (-5/6)(x - 6).
Thus, the equation of the line is y + 8 = (-5/6)(x - 6).