What's the equation of a line that passes through points (0, -1) and (2,3)?

Question

What&#039;s the equation of a line that passes through points (0, -1) and (2,3)?

esfloravaou · Accepted Answer

Explanation:
First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

where m is the slope and the x and y terms are for the points:

(x_{1}, y_{1})

and

(x_{2}, y_{2})

For this problem the slope is:

m = \frac{3 - (- 1)}{2 - 0}

m = \frac{3 + 1}{2}

m = \frac{4}{2}

m = 2

m = 2

Now, selecting one of the points we can use the point slope formula to find the equation.
The point slope formula is:

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

Substituting one of our points gives:

y - (- 1) = 2 (x - 0)

y + 1 = 2 x

Solving for y to put this in standard from gives:

y + 1 - 1 = 2 x - 1

y + 0 = 2 x - 1

y = 2 x - 1

sirpsta3u · Accepted Answer

Wow, very detailed explanations.

What's the equation of a line that passes through points