GRAPHING LINEAR EQUATIONS

What is the value of 2x + 1 if 2(-2) + 1 -3 -1 x = -1? 2(-1) + 1 1 2(0) + 1 x = 0? 3 2(1) + 1 x = 1?

We will call this column x 2x + 1 -2 2(-2) + 1 -3 -1 2(-1) + 1 2(0) + 1 1 2(1) + 1 3 y This is the linear equation y = 2x + 1

Linear means “line” By graphing these values, we can see a visual representation of the line y = 2x + 1

x y -2 -3 -1 1 3

y = 2x + 1

TRY y = -3x + 1

y = -3x + 1 x -3x + 1 y -1 1 -3(-1) + 1 4 -3(0) + 1 1 -3(1) + 1 -2 You can choose any values for x (at least 3)

x y -1 4 1 -2

TRY y = 5 +2x

y = 5 + 2x x 5 + 2x y -2 -1 5 + 2(-2) 1 5 + 2(-1) 3 5 + 2(0) 5 You can choose any values for x (at least 3)

x y -2 1 -1 3 5

TRY y = -4x + 2

y = -4x + 2 x -4x + 2 y -1 1 -4(-1) + 2 6 -4(0) + 2 2 -4(1) + 2 -2 You can choose any values for x (at least 3)

x y -1 6 2 1 -2