Question

What is the equation of the line that passes through the points (−2, 1) and (1, 10)? 3x − y = −73x − y = −53x − y = 5x + 3y = −5

Answer 1

The two point formula :

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

The points are (-2, 1) and (1, 10)

Using the formula above :

`\begin{gathered} y-1=(10-1)/(1-(-2))(x+2) \\ y-1=(9)/(3)(x+2) \\ y-1=3(x+2) \\ y-1=3x+6 \\ -3x+y=6+1 \\ -3x+y=7 \\ 3x-y=-7 \end{gathered}`

The answer is 3x - y = -7