Graphs of Linear Equation in Two Variables

𝑦 = 𝑚𝑥 + 𝑏

𝑦 = 𝑚𝑥 – 𝑏

𝐴𝑥 + 𝐵𝑦 = 𝐶

𝐴𝑥 - 𝐵𝑦 = 𝐶

 $y=x+10$  

 $y=-x-10$  

 $y=x-10$  

 $y=-x+10$  

rising line

falling line

vertical line

horizontal line

zero

positive

negative

undefined

 $y=7x+2$  

 $y=-7x+2$  

 $y=-7x-2$  

 $y=7x-2$  

 $-1$  

 $0$  

 $1$  

 $2$  

The graph is increasing from left to right and intersect point at $\left(0,\ 3\right)$ .

The graph is increasing from left to right and intersect point at $\left(3,\ 0\right)$ .

The graph is decreasing from left to right and intersect point at $\left(0,\ 3\right)$ .

The graph is decreasing from left to right and intersect point at $\left(3,\ 0\right)$ .

From the origin the graph moves 4 units to the right and 1 unit down.

From the origin the graph moves 1 unit to the right and 4 units down.

From the origin the graph moves 4 units to the left and 1 unit down.

From the origin the graph moves 1 unit to the left and 4 units down.