Find the equation of the line passing through

Question

through P(1,6) with slope m = -2/3.  Write the equation in point-slope form.

Answer 1

The point-slope form of a linear equation is y - y_1 = m(x - x_1).

The given point is (1, 6) and the slope is -2/3.

Substitute the values into the point-slope form: y - 6 = -2/3(x - 1)

Answer 2

Equation for point slope form  y - y₁ = m(x -x₁)

 

Plug P and m into the equation.

 

y - 6 = (-2/3)(x -1)