Writing Linear Equations in Point-Slope Form

a

Let's start by recalling the point-slope form of a line.

y - y_{1} = m (x - x_{1})

In this format,

m

represents the slope and the point

(x_{1}, y_{1})

lies on the graph of the line. We are given the point

(- 3, 1)

and the slope

\frac{1}{2} .

We have everything we need to create a point-slope form equation.

y - y_{1} = m (x - x_{1})

SubstituteValuesSubstitute values

y - 1 = \frac{1}{2} (x - (- 3))

a - (- b) = a + b

y - 1 = \frac{1}{2} (x + 3)

b

m

represents the slope and the point

(x_{1}, y_{1})

lies on the graph of the line. We are given the point

(2, - 7)

and the slope

- \frac{1 1}{3} .

We have everything we need to create a point-slope form equation.

y - y_{1} = m (x - x_{1})

SubstituteValuesSubstitute values

y - (- 7) = - \frac{1 1}{3} (x - 2)

a - (- b) = a + b

y + 7 = - \frac{1 1}{3} (x - 2)

Writing Linear Equations in Point-Slope Form 1.2 - Solution