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

Step-by-step 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=(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)=(5-(-1))/(5-2)(x-2) \\ y+1=(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