Question

What is the linear equation, y=mx+b for the table?x. y-2 -3-1 00 31 6

Answer 1

The line passes through the points (-2,-3) and (-1,0).

The general equation of line passes through the point (x_1,y_1) and (x_2,y_2) is,

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

Determine the equation of line.

`\begin{gathered} y-(-3)=(0-(-3))/(-1-(-2))(x-(-2)) \\ y+3=(3)/(1)(x+2) \\ y=3x+6-3 \\ y=3x+3 \end{gathered}`

Linear equation of line is y = 3x +3.