Study Guide: Writing and Graphing Linear Equations

Which of the following is the Slope-Intercept Form?

• $y=mx+b$

• $m=\frac{y_2-y_1}{x_2-x_1}​​$

• $Ax+By=C$

• $y-y_1=m\left(x-x_1\right)$

Write an equation of a line with slope 3 and y-intercept 8.

• $y=3x+8$

• $3x+8y=24$

• $y=8x+3$

• $y=3x-8$

Write an equation of a line with slope -4 and y-intercept 0.

• $y=−4$

• $x=−4$

• $y=−4x$

• $$x=0$$

 $y=−x+2$  

What is the slope in this linear equation?

• m = 2

• m = -1

• m = -x

• m = 0

 $y=−x+2$  

What is the y-intercept in this linear equation?

• b = 2

• b = -1

• b = -x

• b = 0

 $y=−x+2$  

Since m = -1 and b = (0,2), which graph represents this linear equation?

• A

• B

• C

• D

What is the y-intercept of this graph?

• b = (0, 3)

• b = (0, 5)

• b = (0, 4)

• b = (0, 2)

What is the slope of this graph?

• m = -2

• m = 1/2

• m = 2

• m = -1/2

• m = 0

Since the m = 2 and b = 3, which equation represents this graph?

•  $y=-3x+2$  
  

•  $y=3x+2$  

•  $y=2x+3$  
  

•  $y=-2x+3$  
  

What is the slope of this graph?

• m = 2

• m = undefined

• m = 0

• m = -2