Question

Find the equation of the line that passes through the two points (2, -1) and (5, 5). Write your answer in standard form.

Answer 1

Explanation

Given the points two points (2, -1) and (5, 5) we can find the equation of a line using the point-slope formula.

$\begin{gathered} y_-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ Where\text{ x}_1,y_1=2,-1 \\ x_2,y_2=5,5 \end{gathered}$

Therefore, we will have;

$\begin{gathered} y-(-1)=\frac{5-(-1)}{5-2}(x-2) \\ y+1=\frac{6}{3}(x-2) \\ y+1=2(x-2) \\ y+1=2x-4 \\ 2x-y=1+4 \\ 2x-y=5 \\ \end{gathered}$

Answer: 2x-y=5